Elliptic curves over $\Q$ of conductor 7098

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
7098.a1	7098e1	7098.a	7098e	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$0.119947092$	$1$		$24$	$3840$	$0.250126$	$-552611137/777924$	$[1, 1, 0, -94, 616]$	\(y^2+xy=x^3+x^2-94x+616\)
7098.b1	7098d1	7098.b	7098d	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{17} \cdot 3^{7} \cdot 7 \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$9$	$3$	$0$	$799680$	$2.971756$	$-112205650221491190337/745029571313664$	$[1, 1, 0, -16981799, -27096574539]$	\(y^2+xy=x^3+x^2-16981799x-27096574539\)
7098.c1	7098c1	7098.c	7098c	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{5} \cdot 7 \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$7920$	$0.814157$	$-6468095257/3483648$	$[1, 1, 0, -1186, 21364]$	\(y^2+xy=x^3+x^2-1186x+21364\)
7098.d1	7098g1	7098.d	7098g	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{3} \cdot 7 \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4.247286961$	$1$		$0$	$26208$	$1.454325$	$41781923/24192$	$[1, 1, 0, 15883, 24237]$	\(y^2+xy=x^3+x^2+15883x+24237\)
7098.e1	7098a1	7098.e	7098a	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{5} \cdot 3 \cdot 7^{3} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.556870617$	$1$		$4$	$18720$	$1.273348$	$77086633/32928$	$[1, 1, 0, -8284, 145072]$	\(y^2+xy=x^3+x^2-8284x+145072\)
7098.f1	7098b4	7098.f	7098b	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.120	2B	$1$	$1$		$0$	$30720$	$1.471577$	$268498407453697/252$	$[1, 1, 0, -227139, 41571873]$	\(y^2+xy=x^3+x^2-227139x+41571873\)
7098.f2	7098b5	7098.f	7098b	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.217	2B	$1$	$1$		$0$	$61440$	$1.818150$	$84448510979617/933897762$	$[1, 1, 0, -154469, -23207517]$	\(y^2+xy=x^3+x^2-154469x-23207517\)
7098.f3	7098b3	7098.f	7098b	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 7^{4} \cdot 13^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.96	2Cs	$1$	$1$		$2$	$30720$	$1.471577$	$124475734657/63011844$	$[1, 1, 0, -17579, 310185]$	\(y^2+xy=x^3+x^2-17579x+310185\)
7098.f4	7098b2	7098.f	7098b	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.97	2Cs	$1$	$1$		$2$	$15360$	$1.125002$	$65597103937/63504$	$[1, 1, 0, -14199, 644805]$	\(y^2+xy=x^3+x^2-14199x+644805\)
7098.f5	7098b1	7098.f	7098b	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{2} \cdot 7 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.102	2B	$1$	$1$		$1$	$7680$	$0.778429$	$-7189057/16128$	$[1, 1, 0, -679, 14773]$	\(y^2+xy=x^3+x^2-679x+14773\)
7098.f6	7098b6	7098.f	7098b	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{16} \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.204	2B	$1$	$4$	$2$	$0$	$61440$	$1.818150$	$6359387729183/4218578658$	$[1, 1, 0, 65231, 2479807]$	\(y^2+xy=x^3+x^2+65231x+2479807\)
7098.g1	7098f1	7098.g	7098f	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2 \cdot 3^{7} \cdot 7^{5} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$131040$	$1.925154$	$249395415529/73513818$	$[1, 1, 0, -122528, 11512350]$	\(y^2+xy=x^3+x^2-122528x+11512350\)
7098.h1	7098l1	7098.h	7098l	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{3} \cdot 7^{5} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$65520$	$1.786867$	$-1223745654937/907578$	$[1, 0, 1, -208212, -36609116]$	\(y^2+xy+y=x^3-208212x-36609116\)
7098.i1	7098j1	7098.i	7098j	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{17} \cdot 3 \cdot 7 \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$11424$	$0.921000$	$368728437337/2752512$	$[1, 0, 1, -4567, 117626]$	\(y^2+xy+y=x^3-4567x+117626\)
7098.j1	7098k3	7098.j	7098k	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2 \cdot 3 \cdot 7^{4} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$0$	$32256$	$1.406446$	$8020417344913/187278$	$[1, 0, 1, -70477, 7195346]$	\(y^2+xy+y=x^3-70477x+7195346\)
7098.j2	7098k2	7098.j	7098k	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1$	$1$		$2$	$16128$	$1.059874$	$2181825073/298116$	$[1, 0, 1, -4567, 103430]$	\(y^2+xy+y=x^3-4567x+103430\)
7098.j3	7098k1	7098.j	7098k	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$1$	$8064$	$0.713300$	$38272753/4368$	$[1, 0, 1, -1187, -14194]$	\(y^2+xy+y=x^3-1187x-14194\)
7098.j4	7098k4	7098.j	7098k	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 7 \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$0$	$32256$	$1.406446$	$8780064047/32388174$	$[1, 0, 1, 7263, 552970]$	\(y^2+xy+y=x^3+7263x+552970\)
7098.k1	7098o3	7098.k	7098o	$4$	$10$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3 \cdot 7^{5} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1$	$1$		$1$	$156000$	$2.365520$	$124318741396429/51631104$	$[1, 0, 1, -2284377, 1328255164]$	\(y^2+xy+y=x^3-2284377x+1328255164\)
7098.k2	7098o4	7098.k	7098o	$4$	$10$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{5} \cdot 3^{2} \cdot 7^{10} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1$	$1$		$0$	$312000$	$2.712093$	$-75306487574989/81352871712$	$[1, 0, 1, -1932857, 1751063420]$	\(y^2+xy+y=x^3-1932857x+1751063420\)
7098.k3	7098o1	7098.k	7098o	$4$	$10$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{5} \cdot 7 \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1$	$1$		$1$	$31200$	$1.560802$	$4649101309/6804$	$[1, 0, 1, -76392, -8122814]$	\(y^2+xy+y=x^3-76392x-8122814\)
7098.k4	7098o2	7098.k	7098o	$4$	$10$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{10} \cdot 7^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1$	$1$		$0$	$62400$	$1.907375$	$-1680914269/5786802$	$[1, 0, 1, -54422, -12885910]$	\(y^2+xy+y=x^3-54422x-12885910\)
7098.l1	7098h2	7098.l	7098h	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2 \cdot 3 \cdot 7^{3} \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1$	$9$	$3$	$0$	$78624$	$1.986570$	$531373116625/2058$	$[1, 0, 1, -871706, -313330054]$	\(y^2+xy+y=x^3-871706x-313330054\)
7098.l2	7098h1	7098.l	7098h	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{3} \cdot 7 \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1$	$1$		$0$	$26208$	$1.437263$	$2640625/1512$	$[1, 0, 1, -14876, -73006]$	\(y^2+xy+y=x^3-14876x-73006\)
7098.m1	7098n2	7098.m	7098n	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{21} \cdot 3^{3} \cdot 7^{3} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$1.029337034$	$1$		$4$	$235872$	$2.462135$	$673822943613625/19421724672$	$[1, 0, 1, -1706566, -836589544]$	\(y^2+xy+y=x^3-1706566x-836589544\)
7098.m2	7098n1	7098.m	7098n	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{7} \cdot 3^{9} \cdot 7 \cdot 13^{8} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$3.088011102$	$1$		$6$	$78624$	$1.912830$	$1515434103625/17635968$	$[1, 0, 1, -223591, 40263914]$	\(y^2+xy+y=x^3-223591x+40263914\)
7098.n1	7098i2	7098.n	7098i	$2$	$7$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3 \cdot 7 \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$1$	$49$	$7$	$0$	$1382976$	$3.329021$	$-5486773802537974663600129/2635437714$	$[1, 0, 1, -620989828, -5956328145220]$	\(y^2+xy+y=x^3-620989828x-5956328145220\)
7098.n2	7098i1	7098.n	7098i	$2$	$7$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$1$	$1$		$0$	$197568$	$2.356068$	$40251338884511/2997011332224$	$[1, 0, 1, 120662, -182269540]$	\(y^2+xy+y=x^3+120662x-182269540\)
7098.o1	7098m1	7098.o	7098m	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{11} \cdot 7^{3} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.320798763$	$1$		$4$	$535392$	$2.908699$	$-5022437771811277/497757560832$	$[1, 0, 1, -7838393, 9140787164]$	\(y^2+xy+y=x^3-7838393x+9140787164\)
7098.p1	7098p1	7098.p	7098p	$2$	$5$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{5} \cdot 3^{5} \cdot 7 \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1$	$1$		$0$	$12000$	$0.866923$	$-82318551880501/54432$	$[1, 0, 1, -11782, -493192]$	\(y^2+xy+y=x^3-11782x-493192\)
7098.p2	7098p2	7098.p	7098p	$2$	$5$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{25} \cdot 3 \cdot 7^{5} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1$	$1$		$0$	$60000$	$1.671642$	$721710134999099/1691848015872$	$[1, 0, 1, 24293, -2543578]$	\(y^2+xy+y=x^3+24293x-2543578\)
7098.q1	7098s1	7098.q	7098s	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2 \cdot 3^{7} \cdot 7^{5} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$10080$	$0.642679$	$249395415529/73513818$	$[1, 1, 1, -725, 4961]$	\(y^2+xy+y=x^3+x^2-725x+4961\)
7098.r1	7098v1	7098.r	7098v	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{5} \cdot 3 \cdot 7^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.147321105$	$1$		$8$	$1440$	$-0.009127$	$77086633/32928$	$[1, 1, 1, -49, 47]$	\(y^2+xy+y=x^3+x^2-49x+47\)
7098.s1	7098t1	7098.s	7098t	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{3} \cdot 7 \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.289172269$	$1$		$6$	$2016$	$0.171850$	$41781923/24192$	$[1, 1, 1, 94, 47]$	\(y^2+xy+y=x^3+x^2+94x+47\)
7098.t1	7098u1	7098.t	7098u	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{5} \cdot 7^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2.349130176$	$1$		$0$	$20160$	$1.300653$	$-141339344329/2167074$	$[1, 1, 1, -18340, -976201]$	\(y^2+xy+y=x^3+x^2-18340x-976201\)
7098.u1	7098q1	7098.u	7098q	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{5} \cdot 7 \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$102960$	$2.096634$	$-6468095257/3483648$	$[1, 1, 1, -200522, 47939159]$	\(y^2+xy+y=x^3+x^2-200522x+47939159\)
7098.v1	7098r1	7098.v	7098r	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.16.0.2		$1$	$1$		$0$	$49920$	$1.532600$	$-552611137/777924$	$[1, 1, 1, -15974, 1433063]$	\(y^2+xy+y=x^3+x^2-15974x+1433063\)
7098.w1	7098x3	7098.w	7098x	$3$	$9$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{27} \cdot 3 \cdot 7 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$1.041334043$	$1$		$2$	$326592$	$2.433933$	$-1956469094246217097/36641439744$	$[1, 0, 0, -4403552, -3557170176]$	\(y^2+xy=x^3-4403552x-3557170176\)
7098.w2	7098x2	7098.w	7098x	$3$	$9$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 7^{3} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$0.347111347$	$1$		$6$	$108864$	$1.884628$	$-198461344537/10417365504$	$[1, 0, 0, -20537, -10849671]$	\(y^2+xy=x^3-20537x-10849671\)
7098.w3	7098x1	7098.w	7098x	$3$	$9$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 7 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$0.115703782$	$1$		$8$	$36288$	$1.335321$	$270840023/14329224$	$[1, 0, 0, 2278, 398124]$	\(y^2+xy=x^3+2278x+398124\)
7098.x1	7098z1	7098.x	7098z	$2$	$5$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{5} \cdot 3^{5} \cdot 7 \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1$	$1$		$0$	$156000$	$2.149399$	$-82318551880501/54432$	$[1, 0, 0, -1991077, -1081551199]$	\(y^2+xy=x^3-1991077x-1081551199\)
7098.x2	7098z2	7098.x	7098z	$2$	$5$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{25} \cdot 3 \cdot 7^{5} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1$	$1$		$0$	$780000$	$2.954117$	$721710134999099/1691848015872$	$[1, 0, 0, 4105598, -5592345916]$	\(y^2+xy=x^3+4105598x-5592345916\)
7098.y1	7098bf1	7098.y	7098bf	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{11} \cdot 7^{3} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.016637435$	$1$		$24$	$41184$	$1.626225$	$-5022437771811277/497757560832$	$[1, 0, 0, -46381, 4157009]$	\(y^2+xy=x^3-46381x+4157009\)
7098.z1	7098bb1	7098.z	7098bb	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{5} \cdot 3 \cdot 7 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$6720$	$0.763220$	$-47045881/8736$	$[1, 0, 0, -1271, -20151]$	\(y^2+xy=x^3-1271x-20151\)
7098.ba1	7098w2	7098.ba	7098w	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{21} \cdot 3^{3} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$0.237176392$	$1$		$8$	$18144$	$1.179661$	$673822943613625/19421724672$	$[1, 0, 0, -10098, -381564]$	\(y^2+xy=x^3-10098x-381564\)
7098.ba2	7098w1	7098.ba	7098w	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{7} \cdot 3^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$0.079058797$	$1$		$12$	$6048$	$0.630355$	$1515434103625/17635968$	$[1, 0, 0, -1323, 18225]$	\(y^2+xy=x^3-1323x+18225\)
7098.bb1	7098ba2	7098.bb	7098ba	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2 \cdot 3 \cdot 7^{3} \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$1$	$1$		$0$	$6048$	$0.704096$	$531373116625/2058$	$[1, 0, 0, -5158, -143014]$	\(y^2+xy=x^3-5158x-143014\)
7098.bb2	7098ba1	7098.bb	7098ba	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{3} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$1$	$1$		$2$	$2016$	$0.154789$	$2640625/1512$	$[1, 0, 0, -88, -40]$	\(y^2+xy=x^3-88x-40\)
7098.bc1	7098y3	7098.bc	7098y	$4$	$10$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3 \cdot 7^{5} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1$	$1$		$1$	$12000$	$1.083046$	$124318741396429/51631104$	$[1, 0, 0, -13517, 603537]$	\(y^2+xy=x^3-13517x+603537\)
7098.bc2	7098y4	7098.bc	7098y	$4$	$10$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{5} \cdot 3^{2} \cdot 7^{10} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1$	$1$		$0$	$24000$	$1.429619$	$-75306487574989/81352871712$	$[1, 0, 0, -11437, 796145]$	\(y^2+xy=x^3-11437x+796145\)