Elliptic curve search results

Results (12 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
11130.e2	11130e1	11130.e	11130e	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$1$	$5376$	$0.330885$	$-263251475929/343583100$	$0.86347$	$2.94896$	$1$	$[1, 1, 0, -133, -1127]$	\(y^2+xy=x^3+x^2-133x-1127\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[ ]$	$1$
33390.bk2	33390bp1	33390.bk	33390bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$1$	$43008$	$0.880191$	$-263251475929/343583100$	$0.86347$	$3.27077$	$1$	$[1, -1, 1, -1202, 29229]$	\(y^2+xy+y=x^3-x^2-1202x+29229\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[ ]$	$1$
55650.dp2	55650cz1	55650.dp	55650cz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 7^{4} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$1$	$129024$	$1.135603$	$-263251475929/343583100$	$0.86347$	$3.39836$	$1$	$[1, 0, 0, -3338, -134208]$	\(y^2+xy=x^3-3338x-134208\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[ ]$	$1$
77910.bn2	77910bm1	77910.bn	77910bm	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 53 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{10} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$0.988392468$	$1$		$7$	$258048$	$1.303841$	$-263251475929/343583100$	$0.86347$	$3.47608$	$1$	$[1, 0, 1, -6543, 366958]$	\(y^2+xy+y=x^3-6543x+366958\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[(-31, 750)]$	$1$
89040.bs2	89040cl1	89040.bs	89040cl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$0.380486091$	$1$		$11$	$129024$	$1.024033$	$-263251475929/343583100$	$0.86347$	$3.14073$	$1$	$[0, 1, 0, -2136, 67860]$	\(y^2=x^3+x^2-2136x+67860\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[(54, 336)]$	$1$
166950.bm2	166950dl1	166950.bm	166950dl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 53 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 53 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$0.754895544$	$1$		$27$	$1032192$	$1.684910$	$-263251475929/343583100$	$0.86347$	$3.63604$	$1$	$[1, -1, 0, -30042, 3623616]$	\(y^2+xy=x^3-x^2-30042x+3623616\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[(834, 23208), (78, 1284)]$	$1$
233730.cc2	233730cc1	233730.cc	233730cc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 53 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7^{10} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.853146$	$-263251475929/343583100$	$0.86347$	$3.70038$	$1$	$[1, -1, 1, -58883, -9907873]$	\(y^2+xy+y=x^3-x^2-58883x-9907873\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[ ]$	$1$
267120.fa2	267120fa1	267120.fa	267120fa	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1.726129754$	$1$		$5$	$1032192$	$1.573338$	$-263251475929/343583100$	$0.86347$	$3.39212$	$1$	$[0, 0, 0, -19227, -1851446]$	\(y^2=x^3-19227x-1851446\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[(278, 3780)]$	$1$
356160.ds2	356160ds1	356160.ds	356160ds	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$1$	$1032192$	$1.370605$	$-263251475929/343583100$	$0.86347$	$3.12547$	$1$	$[0, -1, 0, -8545, 551425]$	\(y^2=x^3-x^2-8545x+551425\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[ ]$	$1$
356160.fr2	356160fr1	356160.fr	356160fr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$2.324475482$	$1$		$5$	$1032192$	$1.370605$	$-263251475929/343583100$	$0.86347$	$3.12547$	$1$	$[0, 1, 0, -8545, -551425]$	\(y^2=x^3+x^2-8545x-551425\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[(179, 1920)]$	$1$
389550.fl2	389550fl1	389550.fl	389550fl	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 7^{10} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$6.189022399$	$1$		$1$	$6193152$	$2.108559$	$-263251475929/343583100$	$0.86347$	$3.79163$	$1$	$[1, 1, 1, -163563, 45869781]$	\(y^2+xy+y=x^3+x^2-163563x+45869781\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[(32395/6, 5317207/6)]$	$1$
445200.a2	445200a1	445200.a	445200a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 7^{4} \cdot 53 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$4.006485933$	$1$		$13$	$3096576$	$1.828751$	$-263251475929/343583100$	$0.86347$	$3.49455$	$1$	$[0, -1, 0, -53408, 8589312]$	\(y^2=x^3-x^2-53408x+8589312\)	2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.?	$[(202, 2450), (-38, 3250)]$	$1$

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