Elliptic curve search results

Results (12 matches)

 

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
19074.b1	19074d2	19074.b	19074d	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{19} \cdot 3^{2} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$0$	$1634304$	$2.831612$	$2418067440128989194388361/8359273562112$	$1.07160$	$6.55886$	$[1, 1, 0, -47536859, -126171720675]$	\(y^2+xy=x^3+x^2-47536859x-126171720675\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
19074.j1	19074h2	19074.j	19074h	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{19} \cdot 3^{2} \cdot 11^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$64$	$2$	$0$	$27783168$	$4.248215$	$2418067440128989194388361/8359273562112$	$1.07160$	$8.28361$	$[1, 0, 1, -13738152402, -619785496609820]$	\(y^2+xy+y=x^3-13738152402x-619785496609820\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
57222.bg1	57222bk2	57222.bg	57222bk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{19} \cdot 3^{8} \cdot 11^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.597117255$	$1$		$8$	$13074432$	$3.380917$	$2418067440128989194388361/8359273562112$	$1.07160$	$6.50281$	$[1, -1, 1, -427831736, 3406208626491]$	\(y^2+xy+y=x^3-x^2-427831736x+3406208626491\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(11981, 1353)]$
57222.bv1	57222br2	57222.bv	57222br	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{19} \cdot 3^{8} \cdot 11^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$222265344$	$4.797523$	$2418067440128989194388361/8359273562112$	$1.07160$	$8.05459$	$[1, -1, 1, -123643371614, 16734208408465133]$	\(y^2+xy+y=x^3-x^2-123643371614x+16734208408465133\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
152592.h1	152592bm2	152592.h	152592bm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{31} \cdot 3^{2} \cdot 11^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$5.305592470$	$1$		$5$	$666796032$	$4.941368$	$2418067440128989194388361/8359273562112$	$1.07160$	$7.53731$	$[0, -1, 0, -219810438424, 39666271783028464]$	\(y^2=x^3-x^2-219810438424x+39666271783028464\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(270730, 39138)]$
152592.de1	152592bd2	152592.de	152592bd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{31} \cdot 3^{2} \cdot 11^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$26.86055876$	$1$		$1$	$39223296$	$3.524757$	$2418067440128989194388361/8359273562112$	$1.07160$	$6.11305$	$[0, 1, 0, -760589752, 8073468943700]$	\(y^2=x^3+x^2-760589752x+8073468943700\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(6028308467164/14033, 10145272144200639330/14033)]$
209814.cq1	209814bk2	209814.cq	209814bk	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{19} \cdot 3^{2} \cdot 11^{12} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.593723878$	$1$		$4$	$196116480$	$4.030556$	$2418067440128989194388361/8359273562112$	$1.07160$	$6.44950$	$[1, 1, 1, -5751960002, 167905800418511]$	\(y^2+xy+y=x^3+x^2-5751960002x+167905800418511\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(43797, -25529)]$
209814.ct1	209814b2	209814.ct	209814b	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{19} \cdot 3^{2} \cdot 11^{12} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$3333980160$	$5.447166$	$2418067440128989194388361/8359273562112$	$1.07160$	$7.83675$	$[1, 0, 0, -1662316440584, 824932833671229504]$	\(y^2+xy=x^3-1662316440584x+824932833671229504\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
457776.bw1	457776bw2	457776.bw	457776bw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{31} \cdot 3^{8} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$313786368$	$4.074066$	$2418067440128989194388361/8359273562112$	$1.07160$	$6.10352$	$[0, 0, 0, -6845307771, -217990506787670]$	\(y^2=x^3-6845307771x-217990506787670\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
457776.eg1	457776eg2	457776.eg	457776eg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{31} \cdot 3^{8} \cdot 11^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$110.3474138$	$1$		$1$	$5334368256$	$5.490669$	$2418067440128989194388361/8359273562112$	$1.07160$	$7.40773$	$[0, 0, 0, -1978293945819, -1070987359847822710]$	\(y^2=x^3-1978293945819x-1070987359847822710\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[(495336799129803657858085869565973863983284921374087/11906705376172418735117, 9939234724528627761099750339306696011283301148557158218493501094842255636210/11906705376172418735117)]$
476850.fw1	476850fw2	476850.fw	476850fw	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{19} \cdot 3^{2} \cdot 5^{6} \cdot 11^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$3556245504$	$5.052940$	$2418067440128989194388361/8359273562112$	$1.07160$	$6.98286$	$[1, 1, 1, -343453810038, -77473187076227469]$	\(y^2+xy+y=x^3+x^2-343453810038x-77473187076227469\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$
476850.kl1	476850kl2	476850.kl	476850kl	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{19} \cdot 3^{2} \cdot 5^{6} \cdot 11^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$209190912$	$3.636330$	$2418067440128989194388361/8359273562112$	$1.07160$	$5.68272$	$[1, 0, 0, -1188421488, -15769088241408]$	\(y^2+xy=x^3-1188421488x-15769088241408\)	2.3.0.a.1, 136.6.0.?, 264.6.0.?, 2244.6.0.?, 4488.12.0.?	$[]$