Elliptic curve search results

Results (21 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
2652.a2	2652a2	2652.a	2652a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$3456$	$1.069199$	$7909612346288/10289870721$	$0.93265$	$4.49899$	$[0, -1, 0, 2636, 57304]$	\(y^2=x^3-x^2+2636x+57304\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 312.24.0.?, $\ldots$	$[ ]$
7956.g2	7956c2	7956.g	7956c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{12} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$27648$	$1.618505$	$7909612346288/10289870721$	$0.93265$	$4.68259$	$[0, 0, 0, 23721, -1570930]$	\(y^2=x^3+23721x-1570930\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[ ]$
10608.o2	10608u2	10608.o	10608u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5304$	$48$	$0$	$1.723734642$	$1$		$3$	$13824$	$1.069199$	$7909612346288/10289870721$	$0.93265$	$3.82613$	$[0, 1, 0, 2636, -57304]$	\(y^2=x^3+x^2+2636x-57304\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 312.24.0.?, $\ldots$	$[(71, 702)]$
31824.bb2	31824bc2	31824.bb	31824bc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{12} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$110592$	$1.618505$	$7909612346288/10289870721$	$0.93265$	$4.05648$	$[0, 0, 0, 23721, 1570930]$	\(y^2=x^3+23721x+1570930\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[ ]$
34476.f2	34476c2	34476.f	34476c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 13^{8} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$580608$	$2.351673$	$7909612346288/10289870721$	$0.93265$	$4.86748$	$[0, -1, 0, 445428, 127678680]$	\(y^2=x^3-x^2+445428x+127678680\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 52.12.0.d.1, 312.24.0.?, $\ldots$	$[ ]$
42432.v2	42432bt2	42432.v	42432bt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{6} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5304$	$48$	$0$	$2.055127329$	$1$		$3$	$110592$	$1.415773$	$7909612346288/10289870721$	$0.93265$	$3.71865$	$[0, -1, 0, 10543, -468975]$	\(y^2=x^3-x^2+10543x-468975\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 52.12.0.d.1, 156.24.0.?, $\ldots$	$[(89, 1080)]$
42432.cl2	42432y2	42432.cl	42432y	$2$	$2$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{6} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5304$	$48$	$0$	$2.020869139$	$1$		$5$	$110592$	$1.415773$	$7909612346288/10289870721$	$0.93265$	$3.71865$	$[0, 1, 0, 10543, 468975]$	\(y^2=x^3+x^2+10543x+468975\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 52.12.0.d.1, 156.24.0.?, $\ldots$	$[(13, 780)]$
45084.n2	45084j2	45084.n	45084j	$2$	$2$	\( 2^{2} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5304$	$48$	$0$	$5.234307243$	$1$		$3$	$995328$	$2.485806$	$7909612346288/10289870721$	$0.93265$	$4.89583$	$[0, 1, 0, 761708, 286104980]$	\(y^2=x^3+x^2+761708x+286104980\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 312.24.0.?, 408.12.0.?, $\ldots$	$[(971, 44070)]$
66300.ba2	66300bg2	66300.ba	66300bg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$0.208536459$	$1$		$15$	$442368$	$1.873919$	$7909612346288/10289870721$	$0.93265$	$4.06437$	$[0, 1, 0, 65892, 7294788]$	\(y^2=x^3+x^2+65892x+7294788\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 120.12.0.?, 1560.24.0.?, $\ldots$	$[(-12, 2550)]$
103428.e2	103428v2	103428.e	103428v	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{12} \cdot 13^{8} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.38	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$4644864$	$2.900982$	$7909612346288/10289870721$	$0.93265$	$4.97523$	$[0, 0, 0, 4008849, -3451333210]$	\(y^2=x^3+4008849x-3451333210\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.2, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[ ]$
127296.t2	127296ds2	127296.t	127296ds	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{12} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$1768$	$48$	$0$	$1.574457008$	$1$		$7$	$884736$	$1.965078$	$7909612346288/10289870721$	$0.93265$	$3.93188$	$[0, 0, 0, 94884, 12567440]$	\(y^2=x^3+94884x+12567440\)	2.3.0.a.1, 4.12.0-4.a.1.1, 52.24.0-52.d.1.1, 1768.48.0.?	$[(190, 6120)]$
127296.bc2	127296bq2	127296.bc	127296bq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{12} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$884736$	$1.965078$	$7909612346288/10289870721$	$0.93265$	$3.93188$	$[0, 0, 0, 94884, -12567440]$	\(y^2=x^3+94884x-12567440\)	2.3.0.a.1, 4.12.0-4.a.1.1, 52.24.0-52.d.1.1, 1768.48.0.?	$[ ]$
129948.bl2	129948bl2	129948.bl	129948bl	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$37128$	$48$	$0$	$1$	$1$		$1$	$1244160$	$2.042156$	$7909612346288/10289870721$	$0.93265$	$4.00354$	$[0, 1, 0, 129148, -19913580]$	\(y^2=x^3+x^2+129148x-19913580\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 168.12.0.?, 1768.24.0.?, $\ldots$	$[ ]$
135252.h2	135252f2	135252.h	135252f	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 13^{2} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1768$	$48$	$0$	$6.064638054$	$1$		$3$	$7962624$	$3.035110$	$7909612346288/10289870721$	$0.93265$	$4.99850$	$[0, 0, 0, 6855369, -7717979090]$	\(y^2=x^3+6855369x-7717979090\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 104.24.0.?, 136.12.0.?, $\ldots$	$[(2858, 187668)]$
137904.cw2	137904q2	137904.cw	137904q	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 13^{8} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5304$	$48$	$0$	$8.211372606$	$1$		$3$	$2322432$	$2.351673$	$7909612346288/10289870721$	$0.93265$	$4.29729$	$[0, 1, 0, 445428, -127678680]$	\(y^2=x^3+x^2+445428x-127678680\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 52.12.0.d.1, 312.24.0.?, $\ldots$	$[(430863, 282819810)]$
180336.bh2	180336bq2	180336.bh	180336bq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$3981312$	$2.485806$	$7909612346288/10289870721$	$0.93265$	$4.33504$	$[0, -1, 0, 761708, -286104980]$	\(y^2=x^3-x^2+761708x-286104980\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 312.24.0.?, 408.12.0.?, $\ldots$	$[ ]$
198900.w2	198900bi2	198900.w	198900bi	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.423225$	$7909612346288/10289870721$	$0.93265$	$4.23867$	$[0, 0, 0, 593025, -196366250]$	\(y^2=x^3+593025x-196366250\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 52.12.0.d.1, 520.24.0.?, $\ldots$	$[ ]$
265200.cx2	265200cx2	265200.cx	265200cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$1769472$	$1.873919$	$7909612346288/10289870721$	$0.93265$	$3.61320$	$[0, -1, 0, 65892, -7294788]$	\(y^2=x^3-x^2+65892x-7294788\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 120.12.0.?, 1560.24.0.?, $\ldots$	$[ ]$
320892.a2	320892a2	320892.a	320892a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 11^{6} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$58344$	$48$	$0$	$0.762481129$	$1$		$11$	$4838400$	$2.268147$	$7909612346288/10289870721$	$0.93265$	$3.93199$	$[0, -1, 0, 318916, -77547336]$	\(y^2=x^3-x^2+318916x-77547336\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 264.12.0.?, 1768.24.0.?, $\ldots$	$[(434, 11934)]$
389844.p2	389844p2	389844.p	389844p	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{12} \cdot 7^{6} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$12376$	$48$	$0$	$4.747456721$	$1$		$3$	$9953280$	$2.591461$	$7909612346288/10289870721$	$0.93265$	$4.17392$	$[0, 0, 0, 1162329, 538828990]$	\(y^2=x^3+1162329x+538828990\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 56.12.0-4.a.1.1, 728.24.0.?, $\ldots$	$[(2142, 113386)]$
413712.bk2	413712bk2	413712.bk	413712bk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{12} \cdot 13^{8} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.38	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$18579456$	$2.900982$	$7909612346288/10289870721$	$0.93265$	$4.44193$	$[0, 0, 0, 4008849, 3451333210]$	\(y^2=x^3+4008849x+3451333210\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.2, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[ ]$

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