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
30345.e1	30345f2	30345.e	30345f	$2$	$2$	\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$0$	$940032$	$2.625671$	$24170156844497/1191196125$	$1.04228$	$5.45668$	$[1, 1, 1, -2959366, -1875442666]$	\(y^2+xy+y=x^3+x^2-2959366x-1875442666\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
30345.m1	30345bg2	30345.m	30345bg	$2$	$2$	\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$0.771416807$	$1$		$6$	$55296$	$1.209064$	$24170156844497/1191196125$	$1.04228$	$3.80953$	$[1, 0, 0, -10240, -382333]$	\(y^2+xy=x^3-10240x-382333\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(-61, 158)]$
91035.bh1	91035i2	91035.bh	91035i	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$6.767509780$	$1$		$6$	$442368$	$1.758371$	$24170156844497/1191196125$	$1.04228$	$4.02027$	$[1, -1, 0, -92160, 10322991]$	\(y^2+xy=x^3-x^2-92160x+10322991\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(30, 2739), (-174, 4677)]$
91035.br1	91035bq2	91035.br	91035bq	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$0$	$7520256$	$3.174976$	$24170156844497/1191196125$	$1.04228$	$5.50895$	$[1, -1, 0, -26634294, 50610317683]$	\(y^2+xy=x^3-x^2-26634294x+50610317683\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
151725.cn1	151725cy2	151725.cn	151725cy	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{4} \cdot 5^{9} \cdot 7^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$0$	$1327104$	$2.013783$	$24170156844497/1191196125$	$1.04228$	$4.10504$	$[1, 1, 0, -256000, -47791625]$	\(y^2+xy=x^3+x^2-256000x-47791625\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
151725.cs1	151725cp2	151725.cs	151725cp	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{4} \cdot 5^{9} \cdot 7^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$4$	$2$	$0$	$22560768$	$3.430389$	$24170156844497/1191196125$	$1.04228$	$5.52998$	$[1, 0, 1, -73984151, -234282364927]$	\(y^2+xy+y=x^3-73984151x-234282364927\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
212415.o1	212415ba2	212415.o	212415ba	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 3^{4} \cdot 5^{3} \cdot 7^{12} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$0$	$2654208$	$2.182018$	$24170156844497/1191196125$	$1.04228$	$4.15702$	$[1, 1, 1, -501761, 130638458]$	\(y^2+xy+y=x^3+x^2-501761x+130638458\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
212415.ba1	212415n2	212415.ba	212415n	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 3^{4} \cdot 5^{3} \cdot 7^{12} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$0$	$45121536$	$3.598625$	$24170156844497/1191196125$	$1.04228$	$5.54287$	$[1, 0, 0, -145008935, 642841807572]$	\(y^2+xy=x^3-145008935x+642841807572\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
455175.bn1	455175bn2	455175.bn	455175bn	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$4$	$2$	$0$	$180486144$	$3.979694$	$24170156844497/1191196125$	$1.04228$	$5.56961$	$[1, -1, 1, -665857355, 6325623853022]$	\(y^2+xy+y=x^3-x^2-665857355x+6325623853022\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
455175.bx1	455175bx2	455175.bx	455175bx	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$0.654837058$	$1$		$8$	$10616832$	$2.563087$	$24170156844497/1191196125$	$1.04228$	$4.26483$	$[1, -1, 1, -2304005, 1288069872]$	\(y^2+xy+y=x^3-x^2-2304005x+1288069872\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(14, 35430)]$
485520.dj1	485520dj2	485520.dj	485520dj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$0.551283496$	$1$		$27$	$3538944$	$1.902212$	$24170156844497/1191196125$	$1.04228$	$3.63810$	$[0, -1, 0, -163840, 24469312]$	\(y^2=x^3-x^2-163840x+24469312\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(144, 1960), (74, 3570)]$
485520.fc1	485520fc2	485520.fc	485520fc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$6.019891707$	$1$		$3$	$60162048$	$3.318817$	$24170156844497/1191196125$	$1.04228$	$4.93645$	$[0, 1, 0, -47349856, 119933630900]$	\(y^2=x^3+x^2-47349856x+119933630900\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(2186, 163944)]$