Elliptic curve search results

Results (27 matches)

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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	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
1110.o2	1110o1	1110.o	1110o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$80$	$-0.544201$	$-117649/11100$	$0.96712$	$2.39236$	$[1, 0, 0, -1, 5]$	\(y^2+xy=x^3-x+5\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
3330.l2	3330l1	3330.l	3330l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$640$	$0.005106$	$-117649/11100$	$0.96712$	$2.88103$	$[1, -1, 0, -9, -135]$	\(y^2+xy=x^3-x^2-9x-135\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
5550.b2	5550d1	5550.b	5550d	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{2} \cdot 3 \cdot 5^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.654443251$	$1$		$9$	$1920$	$0.260519$	$-117649/11100$	$0.96712$	$3.06582$	$[1, 1, 0, -25, 625]$	\(y^2+xy=x^3+x^2-25x+625\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(0, 25)]$	$1$
8880.b2	8880q1	8880.b	8880q	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.610794571$	$1$		$5$	$1920$	$0.148947$	$-117649/11100$	$0.96712$	$2.76007$	$[0, -1, 0, -16, -320]$	\(y^2=x^3-x^2-16x-320\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(18, 70)]$	$1$
16650.bq2	16650cb1	16650.bq	16650cb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.781905835$	$1$		$3$	$15360$	$0.809825$	$-117649/11100$	$0.96712$	$3.39746$	$[1, -1, 1, -230, -17103]$	\(y^2+xy+y=x^3-x^2-230x-17103\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(149, 1725)]$	$1$
26640.z2	26640ce1	26640.z	26640ce	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.617630625$	$1$		$9$	$15360$	$0.698253$	$-117649/11100$	$0.96712$	$3.10937$	$[0, 0, 0, -147, 8786]$	\(y^2=x^3-147x+8786\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(7, 90)]$	$1$
35520.bn2	35520p1	35520.bn	35520p	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{20} \cdot 3 \cdot 5^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.495520$	$-117649/11100$	$0.96712$	$2.79181$	$[0, -1, 0, -65, 2625]$	\(y^2=x^3-x^2-65x+2625\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
35520.cj2	35520cy1	35520.cj	35520cy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{20} \cdot 3 \cdot 5^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.495520$	$-117649/11100$	$0.96712$	$2.79181$	$[0, 1, 0, -65, -2625]$	\(y^2=x^3+x^2-65x-2625\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
41070.r2	41070n1	41070.r	41070n	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \)	\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$2.970583724$	$1$		$1$	$109440$	$1.261259$	$-117649/11100$	$0.96712$	$3.61865$	$[1, 0, 1, -1398, 257428]$	\(y^2+xy+y=x^3-1398x+257428\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(-803/4, 30323/4)]$	$1$
44400.dj2	44400cm1	44400.dj	44400cm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{14} \cdot 3 \cdot 5^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.594137008$	$1$		$1$	$46080$	$0.953666$	$-117649/11100$	$0.96712$	$3.24736$	$[0, 1, 0, -408, -40812]$	\(y^2=x^3+x^2-408x-40812\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(2633/4, 133875/4)]$	$1$
54390.ca2	54390cg1	54390.ca	54390cg	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.063678589$	$1$		$1$	$23040$	$0.428755$	$-117649/11100$	$0.96712$	$2.60924$	$[1, 1, 1, -50, -1765]$	\(y^2+xy+y=x^3+x^2-50x-1765\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(115/2, 1057/2)]$	$1$
106560.m2	106560em1	106560.m	106560em	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{20} \cdot 3^{7} \cdot 5^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.765571375$	$1$		$5$	$122880$	$1.044827$	$-117649/11100$	$0.96712$	$3.09627$	$[0, 0, 0, -588, 70288]$	\(y^2=x^3-588x+70288\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(18, 256)]$	$1$
106560.dd2	106560bm1	106560.dd	106560bm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{20} \cdot 3^{7} \cdot 5^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$122880$	$1.044827$	$-117649/11100$	$0.96712$	$3.09627$	$[0, 0, 0, -588, -70288]$	\(y^2=x^3-588x-70288\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
123210.cw2	123210cx1	123210.cw	123210cx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$9.284870021$	$1$		$1$	$875520$	$1.810564$	$-117649/11100$	$0.96712$	$3.84184$	$[1, -1, 1, -12578, -6950563]$	\(y^2+xy+y=x^3-x^2-12578x-6950563\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(2706405/44, 4371528617/44)]$	$1$
133200.gi2	133200do1	133200.gi	133200do	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$2.263206024$	$1$		$5$	$368640$	$1.502972$	$-117649/11100$	$0.96712$	$3.50364$	$[0, 0, 0, -3675, 1098250]$	\(y^2=x^3-3675x+1098250\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(29, 1008)]$	$1$
134310.w2	134310bx1	134310.w	134310bx	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$112000$	$0.654747$	$-117649/11100$	$0.96712$	$2.63916$	$[1, 0, 1, -124, -6778]$	\(y^2+xy+y=x^3-124x-6778\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
163170.bf2	163170es1	163170.bf	163170es	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.805560142$	$1$		$25$	$184320$	$0.978061$	$-117649/11100$	$0.96712$	$2.91960$	$[1, -1, 0, -450, 47200]$	\(y^2+xy=x^3-x^2-450x+47200\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(-19, 230), (23, 209)]$	$1$
177600.ek2	177600el1	177600.ek	177600el	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{20} \cdot 3 \cdot 5^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$6.814551103$	$1$		$3$	$368640$	$1.300240$	$-117649/11100$	$0.96712$	$3.21899$	$[0, -1, 0, -1633, -324863]$	\(y^2=x^3-x^2-1633x-324863\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(20327, 2898000)]$	$1$
177600.fe2	177600fq1	177600.fe	177600fq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{20} \cdot 3 \cdot 5^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.867879371$	$1$		$3$	$368640$	$1.300240$	$-117649/11100$	$0.96712$	$3.21899$	$[0, 1, 0, -1633, 324863]$	\(y^2=x^3+x^2-1633x+324863\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(499, 11136)]$	$1$
187590.bf2	187590br1	187590.bf	187590br	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 37 \)	\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.226158744$	$1$		$3$	$184320$	$0.738275$	$-117649/11100$	$0.96712$	$2.64909$	$[1, 0, 1, -173, 11156]$	\(y^2+xy+y=x^3-173x+11156\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(65, 492)]$	$1$
205350.ch2	205350bp1	205350.ch	205350bp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37^{2} \)	\( - 2^{2} \cdot 3 \cdot 5^{8} \cdot 37^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$2626560$	$2.065979$	$-117649/11100$	$0.96712$	$3.93197$	$[1, 1, 1, -34938, 32178531]$	\(y^2+xy+y=x^3+x^2-34938x+32178531\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
271950.dg2	271950dg1	271950.dg	271950dg	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{2} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$2.699788824$	$1$		$3$	$552960$	$1.233473$	$-117649/11100$	$0.96712$	$3.04535$	$[1, 0, 1, -1251, -218102]$	\(y^2+xy+y=x^3-1251x-218102\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(697, 18026)]$	$1$
320790.bw2	320790bw1	320790.bw	320790bw	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 37 \)	\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.090972709$	$1$		$3$	$409600$	$0.872406$	$-117649/11100$	$0.96712$	$2.66394$	$[1, 1, 1, -295, 24857]$	\(y^2+xy+y=x^3+x^2-295x+24857\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(511, 11304)]$	$1$
328560.t2	328560t1	328560.t	328560t	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37^{2} \)	\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.112351481$	$1$		$1$	$2626560$	$1.954405$	$-117649/11100$	$0.96712$	$3.68108$	$[0, -1, 0, -22360, -16475408]$	\(y^2=x^3-x^2-22360x-16475408\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(14493/2, 1742737/2)]$	$1$
400710.g2	400710g1	400710.g	400710g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 37 \)	\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$570240$	$0.928020$	$-117649/11100$	$0.96712$	$2.66973$	$[1, 1, 0, -368, -35028]$	\(y^2+xy=x^3+x^2-368x-35028\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
402930.ea2	402930ea1	402930.ea	402930ea	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$896000$	$1.204054$	$-117649/11100$	$0.96712$	$2.92523$	$[1, -1, 1, -1112, 182999]$	\(y^2+xy+y=x^3-x^2-1112x+182999\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$
435120.hz2	435120hz1	435120.hz	435120hz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$552960$	$1.121902$	$-117649/11100$	$0.96712$	$2.83199$	$[0, 1, 0, -800, 111348]$	\(y^2=x^3+x^2-800x+111348\)	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[ ]$	$1$

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