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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
10010.q1	10010m3	10010.q	10010m	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$8008$	$48$	$0$	$1$	$1$		$0$	$14336$	$0.875930$	$1332779492447649/146356560350$	$0.93469$	$3.78078$	$[1, -1, 1, -2293, 38607]$	\(y^2+xy+y=x^3-x^2-2293x+38607\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 56.24.0-56.s.1.2, $\ldots$	$[ ]$
50050.p1	50050p4	50050.p	50050p	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 5^{8} \cdot 7 \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$40040$	$48$	$0$	$0.951385061$	$1$		$6$	$344064$	$1.680649$	$1332779492447649/146356560350$	$0.93469$	$4.11086$	$[1, -1, 0, -57317, 4768591]$	\(y^2+xy=x^3-x^2-57317x+4768591\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0.s.1, 140.12.0.?, $\ldots$	$[(189, 718)]$
70070.bw1	70070ce4	70070.bw	70070ce	$4$	$4$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 5^{2} \cdot 7^{7} \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$8008$	$48$	$0$	$4.842661317$	$1$		$0$	$688128$	$1.848885$	$1332779492447649/146356560350$	$0.93469$	$4.16783$	$[1, -1, 1, -112342, -13017609]$	\(y^2+xy+y=x^3-x^2-112342x-13017609\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.s.1.1, 1144.24.0.?, 8008.48.0.?	$[(-2339/4, 37601/4)]$
80080.v1	80080bc4	80080.v	80080bc	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$8008$	$48$	$0$	$1$	$1$		$1$	$344064$	$1.569077$	$1332779492447649/146356560350$	$0.93469$	$3.82115$	$[0, 0, 0, -36683, -2434182]$	\(y^2=x^3-36683x-2434182\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.2, 56.24.0-56.s.1.3, $\ldots$	$[ ]$
90090.bl1	90090bp4	90090.bl	90090bp	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$2.734439048$	$1$		$14$	$458752$	$1.425236$	$1332779492447649/146356560350$	$0.93469$	$3.63041$	$[1, -1, 0, -20634, -1021762]$	\(y^2+xy=x^3-x^2-20634x-1021762\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.s.1, 84.12.0.?, $\ldots$	$[(-73, 339), (-61, -54)]$
110110.z1	110110u4	110110.z	110110u	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 5^{2} \cdot 7 \cdot 11^{10} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8008$	$48$	$0$	$1$	$1$		$0$	$1720320$	$2.074879$	$1332779492447649/146356560350$	$0.93469$	$4.23916$	$[1, -1, 0, -277415, -50554025]$	\(y^2+xy=x^3-x^2-277415x-50554025\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.s.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[ ]$
130130.z1	130130z3	130130.z	130130z	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8008$	$48$	$0$	$1$	$1$		$0$	$2408448$	$2.158405$	$1332779492447649/146356560350$	$0.93469$	$4.26414$	$[1, -1, 0, -387464, 83657770]$	\(y^2+xy=x^3-x^2-387464x+83657770\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.s.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[ ]$
320320.dl1	320320dl3	320320.dl	320320dl	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$8008$	$48$	$0$	$1$	$1$		$3$	$2752512$	$1.915651$	$1332779492447649/146356560350$	$0.93469$	$3.73136$	$[0, 0, 0, -146732, 19473456]$	\(y^2=x^3-146732x+19473456\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.s.1.4, 1144.24.0.?, 8008.48.0.?	$[ ]$
320320.ds1	320320ds4	320320.ds	320320ds	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$8008$	$48$	$0$	$3.734324903$	$1$		$3$	$2752512$	$1.915651$	$1332779492447649/146356560350$	$0.93469$	$3.73136$	$[0, 0, 0, -146732, -19473456]$	\(y^2=x^3-146732x-19473456\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.s.1.1, 1144.24.0.?, 8008.48.0.?	$[(813, 19965)]$
350350.bu1	350350bu4	350350.bu	350350bu	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 5^{8} \cdot 7^{7} \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$40040$	$48$	$0$	$1$	$1$		$0$	$16515072$	$2.653603$	$1332779492447649/146356560350$	$0.93469$	$4.39880$	$[1, -1, 0, -2808542, -1630009634]$	\(y^2+xy=x^3-x^2-2808542x-1630009634\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.s.1, 280.24.0.?, $\ldots$	$[ ]$
400400.cv1	400400cv4	400400.cv	400400cv	$4$	$4$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 5^{8} \cdot 7 \cdot 11^{4} \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$40040$	$48$	$0$	$1.554528390$	$1$		$19$	$8257536$	$2.373795$	$1332779492447649/146356560350$	$0.93469$	$4.09299$	$[0, 0, 0, -917075, -304272750]$	\(y^2=x^3-917075x-304272750\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0.s.1, 140.12.0.?, $\ldots$	$[(5745, 429000), (-415, 2200)]$
450450.lr1	450450lr4	450450.lr	450450lr	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$120120$	$48$	$0$	$1$	$1$		$0$	$11010048$	$2.229954$	$1332779492447649/146356560350$	$0.93469$	$3.92336$	$[1, -1, 1, -515855, -128236103]$	\(y^2+xy+y=x^3-x^2-515855x-128236103\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.s.1, 120.12.0.?, 420.12.0.?, $\ldots$	$[ ]$

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