Elliptic curve search results

Results (16 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
4389.f1	4389c1	4389.f	4389c	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 7^{5} \cdot 11^{3} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8778$	$2$	$0$	$1$	$1$		$0$	$82320$	$2.466675$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.32438$	$[0, 1, 1, -993851, -210574828]$	\(y^2+y=x^3+x^2-993851x-210574828\)	8778.2.0.?	$[]$
13167.i1	13167g1	13167.i	13167g	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{13} \cdot 7^{5} \cdot 11^{3} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$5.775187319$	$1$		$2$	$658560$	$3.015980$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.28681$	$[0, 0, 1, -8944662, 5676575688]$	\(y^2+y=x^3-8944662x+5676575688\)	8778.2.0.?	$[(-3214, 34996)]$
30723.n1	30723e1	30723.n	30723e	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 7^{11} \cdot 11^{3} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$4.125203752$	$1$		$2$	$3951360$	$3.439629$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.26329$	$[0, -1, 1, -48698715, 72129768500]$	\(y^2+y=x^3-x^2-48698715x+72129768500\)	8778.2.0.?	$[(-4324, 449264)]$
48279.m1	48279z1	48279.m	48279z	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3^{7} \cdot 7^{5} \cdot 11^{9} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$0.223330513$	$1$		$6$	$9878400$	$3.665623$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.25225$	$[0, 1, 1, -120256011, 279794071739]$	\(y^2+y=x^3+x^2-120256011x+279794071739\)	8778.2.0.?	$[(579, 458650)]$
70224.m1	70224ce1	70224.m	70224ce	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{7} \cdot 7^{5} \cdot 11^{3} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$0.459098035$	$1$		$4$	$5927040$	$3.159821$	$108564537417325852524544/43731285645734113581$	$1.03695$	$5.49843$	$[0, -1, 0, -15901621, 13460887357]$	\(y^2=x^3-x^2-15901621x+13460887357\)	8778.2.0.?	$[(-2316, 194579)]$
83391.g1	83391b1	83391.g	83391b	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \)	\( 3^{7} \cdot 7^{5} \cdot 11^{3} \cdot 19^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$9$	$3$	$0$	$29635200$	$3.938892$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.24009$	$[0, -1, 1, -358780331, 1442180061803]$	\(y^2+y=x^3-x^2-358780331x+1442180061803\)	8778.2.0.?	$[]$
92169.s1	92169bh1	92169.s	92169bh	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3^{13} \cdot 7^{11} \cdot 11^{3} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$0.909491401$	$1$		$4$	$31610880$	$3.988937$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.23798$	$[0, 0, 1, -438288438, -1947065461070]$	\(y^2+y=x^3-438288438x-1947065461070\)	8778.2.0.?	$[(-13076, 1244281)]$
109725.z1	109725m1	109725.z	109725m	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 5^{6} \cdot 7^{5} \cdot 11^{3} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$11524800$	$3.271393$	$108564537417325852524544/43731285645734113581$	$1.03695$	$5.40235$	$[0, -1, 1, -24846283, -26272160907]$	\(y^2+y=x^3-x^2-24846283x-26272160907\)	8778.2.0.?	$[]$
144837.bb1	144837u1	144837.bb	144837u	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3^{13} \cdot 7^{5} \cdot 11^{9} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$0.884584353$	$1$		$4$	$79027200$	$4.214928$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.22893$	$[0, 0, 1, -1082304102, -7555522241061]$	\(y^2+y=x^3-1082304102x-7555522241061\)	8778.2.0.?	$[(-13651, 2162209)]$
210672.dp1	210672bi1	210672.dp	210672bi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{13} \cdot 7^{5} \cdot 11^{3} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1.233866894$	$1$		$0$	$47416320$	$3.709129$	$108564537417325852524544/43731285645734113581$	$1.03695$	$5.54338$	$[0, 0, 0, -143114592, -363300844048]$	\(y^2=x^3-143114592x-363300844048\)	8778.2.0.?	$[(-25271/2, 4298427/2)]$
250173.y1	250173y1	250173.y	250173y	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( 3^{13} \cdot 7^{5} \cdot 11^{3} \cdot 19^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$237081600$	$4.488197$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.21887$	$[0, 0, 1, -3229022982, -38935632645707]$	\(y^2+y=x^3-3229022982x-38935632645707\)	8778.2.0.?	$[]$
280896.cn1	280896cn1	280896.cn	280896cn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3^{7} \cdot 7^{5} \cdot 11^{3} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$3.202068184$	$1$		$0$	$11854080$	$2.813248$	$108564537417325852524544/43731285645734113581$	$1.03695$	$4.55936$	$[0, -1, 0, -3975405, -1680623217]$	\(y^2=x^3-x^2-3975405x-1680623217\)	8778.2.0.?	$[(-11414/3, 980837/3)]$
280896.gm1	280896gm1	280896.gm	280896gm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3^{7} \cdot 7^{5} \cdot 11^{3} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$11854080$	$2.813248$	$108564537417325852524544/43731285645734113581$	$1.03695$	$4.55936$	$[0, 1, 0, -3975405, 1680623217]$	\(y^2=x^3+x^2-3975405x+1680623217\)	8778.2.0.?	$[]$
329175.bz1	329175bz1	329175.bz	329175bz	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{13} \cdot 5^{6} \cdot 7^{5} \cdot 11^{3} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$92198400$	$3.820698$	$108564537417325852524544/43731285645734113581$	$1.03695$	$5.45403$	$[0, 0, 1, -223616550, 709571961031]$	\(y^2+y=x^3-223616550x+709571961031\)	8778.2.0.?	$[]$
337953.bg1	337953bg1	337953.bg	337953bg	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 19 \)	\( 3^{7} \cdot 7^{11} \cdot 11^{9} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$32.69105173$	$1$		$0$	$474163200$	$4.638580$	$108564537417325852524544/43731285645734113581$	$1.03695$	$6.21370$	$[0, -1, 1, -5892544555, -95981151695661]$	\(y^2+y=x^3-x^2-5892544555x-95981151695661\)	8778.2.0.?	$[(11412193650097113/168691, 1195672380046612712094141/168691)]$
491568.ha1	491568ha1	491568.ha	491568ha	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{7} \cdot 7^{11} \cdot 11^{3} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$4.968739436$	$1$		$2$	$284497920$	$4.132774$	$108564537417325852524544/43731285645734113581$	$1.03695$	$5.57290$	$[0, 1, 0, -779179445, -4615526004573]$	\(y^2=x^3+x^2-779179445x-4615526004573\)	8778.2.0.?	$[(257686, 130021353)]$