Elliptic curve search results

Results (19 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
2370.e2	2370e1	2370.e	2370e	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{14} \cdot 3^{21} \cdot 5^{12} \cdot 79 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$948$	$16$	$0$	$1$	$1$		$2$	$357504$	$3.389931$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$8.24146$	$[1, 0, 1, -19234773, -93306683744]$	\(y^2+xy+y=x^3-19234773x-93306683744\)	3.8.0-3.a.1.2, 948.16.0.?	$[ ]$
7110.o2	7110r1	7110.o	7110r	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{14} \cdot 3^{27} \cdot 5^{12} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$948$	$16$	$0$	$1$	$1$		$0$	$2860032$	$3.939236$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$7.96381$	$[1, -1, 1, -173112953, 2519280461081]$	\(y^2+xy+y=x^3-x^2-173112953x+2519280461081\)	3.8.0-3.a.1.1, 948.16.0.?	$[ ]$
11850.x2	11850v1	11850.x	11850v	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{21} \cdot 5^{18} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4740$	$16$	$0$	$15.56544176$	$1$		$0$	$8580096$	$4.194649$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$7.85687$	$[1, 1, 1, -480869313, -11663335467969]$	\(y^2+xy+y=x^3+x^2-480869313x-11663335467969\)	3.4.0.a.1, 15.8.0-3.a.1.2, 948.8.0.?, 4740.16.0.?	$[(142831095/17, 1704026908536/17)]$
18960.l2	18960l1	18960.l	18960l	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{26} \cdot 3^{21} \cdot 5^{12} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$948$	$16$	$0$	$5.436275270$	$1$		$2$	$8580096$	$4.083076$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$7.34605$	$[0, -1, 0, -307756360, 5971627759600]$	\(y^2=x^3-x^2-307756360x+5971627759600\)	3.4.0.a.1, 12.8.0-3.a.1.1, 474.8.0.?, 948.16.0.?	$[(40170, 7643750)]$
35550.r2	35550p1	35550.r	35550p	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{27} \cdot 5^{18} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4740$	$16$	$0$	$15.14091304$	$1$		$0$	$68640768$	$4.743958$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$7.66219$	$[1, -1, 0, -4327823817, 314905729811341]$	\(y^2+xy=x^3-x^2-4327823817x+314905729811341\)	3.4.0.a.1, 15.8.0-3.a.1.1, 948.8.0.?, 4740.16.0.?	$[(146097162434/1199, 52326205978004017/1199)]$
56880.p2	56880z1	56880.p	56880z	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{26} \cdot 3^{27} \cdot 5^{12} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$948$	$16$	$0$	$41.21143295$	$1$		$0$	$68640768$	$4.632385$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$7.21098$	$[0, 0, 0, -2769807243, -161231179701958]$	\(y^2=x^3-2769807243x-161231179701958\)	3.4.0.a.1, 12.8.0-3.a.1.2, 474.8.0.?, 948.16.0.?	$[(121142494108652534778679/1305927037, 1457768851618111670275436010656250/1305927037)]$
75840.g2	75840f1	75840.g	75840f	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{32} \cdot 3^{21} \cdot 5^{12} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$1$	$9$	$3$	$0$	$68640768$	$4.429649$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.80985$	$[0, -1, 0, -1231025441, -47771791051359]$	\(y^2=x^3-x^2-1231025441x-47771791051359\)	3.4.0.a.1, 24.8.0-3.a.1.2, 948.8.0.?, 1896.16.0.?	$[ ]$
75840.bt2	75840cb1	75840.bt	75840cb	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{32} \cdot 3^{21} \cdot 5^{12} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$2.153876361$	$1$		$4$	$68640768$	$4.429649$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.80985$	$[0, 1, 0, -1231025441, 47771791051359]$	\(y^2=x^3+x^2-1231025441x+47771791051359\)	3.4.0.a.1, 24.8.0-3.a.1.4, 948.8.0.?, 1896.16.0.?	$[(692839, 576000000)]$
94800.co2	94800cl1	94800.co	94800cl	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{26} \cdot 3^{21} \cdot 5^{18} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4740$	$16$	$0$	$5.449388863$	$1$		$2$	$205922304$	$4.887794$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$7.15700$	$[0, 1, 0, -7693909008, 746438082131988]$	\(y^2=x^3+x^2-7693909008x+746438082131988\)	3.4.0.a.1, 60.8.0-3.a.1.2, 948.8.0.?, 2370.8.0.?, 4740.16.0.?	$[(-32172, 30994650)]$
116130.j2	116130i1	116130.j	116130i	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{21} \cdot 5^{12} \cdot 7^{6} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6636$	$16$	$0$	$39.55346250$	$1$		$0$	$135136512$	$4.362885$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.49236$	$[1, 1, 0, -942503853, 32003250020253]$	\(y^2+xy=x^3+x^2-942503853x+32003250020253\)	3.4.0.a.1, 21.8.0-3.a.1.1, 948.8.0.?, 6636.16.0.?	$[(-41561237611433147254/63283813, 1617525428607128738800874799751/63283813)]$
187230.i2	187230ba1	187230.i	187230ba	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 79^{2} \)	\( - 2^{14} \cdot 3^{21} \cdot 5^{12} \cdot 79^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$948$	$16$	$0$	$7.135282107$	$1$		$0$	$2230824960$	$5.574654$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$7.43471$	$[1, 1, 0, -120044215302, 46002993736827924]$	\(y^2+xy=x^3+x^2-120044215302x+46002993736827924\)	3.4.0.a.1, 12.8.0-3.a.1.4, 237.8.0.?, 948.16.0.?	$[(-10317572/9, 177460584274/9)]$
227520.du2	227520de1	227520.du	227520de	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{32} \cdot 3^{27} \cdot 5^{12} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$1$	$1$		$0$	$549126144$	$4.978958$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.73772$	$[0, 0, 0, -11079228972, 1289849437615664]$	\(y^2=x^3-11079228972x+1289849437615664\)	3.4.0.a.1, 24.8.0-3.a.1.1, 948.8.0.?, 1896.16.0.?	$[ ]$
227520.en2	227520q1	227520.en	227520q	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{32} \cdot 3^{27} \cdot 5^{12} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$1$	$4$	$2$	$0$	$549126144$	$4.978958$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.73772$	$[0, 0, 0, -11079228972, -1289849437615664]$	\(y^2=x^3-11079228972x-1289849437615664\)	3.4.0.a.1, 24.8.0-3.a.1.3, 948.8.0.?, 1896.16.0.?	$[ ]$
284400.cx2	284400cx1	284400.cx	284400cx	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{26} \cdot 3^{27} \cdot 5^{18} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4740$	$16$	$0$	$252.6925458$	$1$		$0$	$1647378432$	$5.437103$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$7.05578$	$[0, 0, 0, -69245181075, -20153897462744750]$	\(y^2=x^3-69245181075x-20153897462744750\)	3.4.0.a.1, 60.8.0-3.a.1.1, 948.8.0.?, 2370.8.0.?, 4740.16.0.?	$[(1065503610818941233820331336911334526757083151531502023229632676389793228969810506492989718717150568024187882815/54434621239452743539711238745980781095700992562403609, 6125425076161446729696810597213573039163020025159066325980846814131784877669437561136393779031271659747359695969621652514029804404994763388623457587394749902364517050/54434621239452743539711238745980781095700992562403609)]$
286770.dr2	286770dr1	286770.dr	286770dr	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{21} \cdot 5^{12} \cdot 11^{6} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$10428$	$16$	$0$	$0.258490336$	$1$		$10$	$482630400$	$4.588875$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.24113$	$[1, 0, 0, -2327407475, 124188868655457]$	\(y^2+xy=x^3-2327407475x+124188868655457\)	3.4.0.a.1, 33.8.0-3.a.1.2, 948.8.0.?, 10428.16.0.?	$[(52654, 12123673)]$
348390.ey2	348390ey1	348390.ey	348390ey	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{27} \cdot 5^{12} \cdot 7^{6} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6636$	$16$	$0$	$1$	$1$		$0$	$1081092096$	$4.912193$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.44997$	$[1, -1, 1, -8482534682, -864096233081511]$	\(y^2+xy+y=x^3-x^2-8482534682x-864096233081511\)	3.4.0.a.1, 21.8.0-3.a.1.2, 948.8.0.?, 6636.16.0.?	$[ ]$
379200.cd2	379200cd1	379200.cd	379200cd	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{32} \cdot 3^{21} \cdot 5^{18} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$1$	$16$	$2$	$0$	$1647378432$	$5.234367$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.70839$	$[0, -1, 0, -30775636033, 5971535432691937]$	\(y^2=x^3-x^2-30775636033x+5971535432691937\)	3.4.0.a.1, 120.8.0.?, 948.8.0.?, 9480.16.0.?	$[ ]$
379200.gx2	379200gx1	379200.gx	379200gx	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{32} \cdot 3^{21} \cdot 5^{18} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$20.36765823$	$1$		$0$	$1647378432$	$5.234367$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.70839$	$[0, 1, 0, -30775636033, -5971535432691937]$	\(y^2=x^3+x^2-30775636033x-5971535432691937\)	3.4.0.a.1, 120.8.0.?, 948.8.0.?, 9480.16.0.?	$[(13073379797/227, 590825052113700/227)]$
400530.co2	400530co1	400530.co	400530co	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 79 \)	\( - 2^{14} \cdot 3^{21} \cdot 5^{12} \cdot 13^{6} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$12324$	$16$	$0$	$1$	$1$		$0$	$836559360$	$4.672401$	$-787018381229524347427258441/3305471612148000000000000$	$1.05968$	$6.15719$	$[1, 0, 0, -3250676556, -204991533508464]$	\(y^2+xy=x^3-3250676556x-204991533508464\)	3.4.0.a.1, 39.8.0-3.a.1.1, 948.8.0.?, 12324.16.0.?	$[ ]$

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