Elliptic curves over $\Q$ of conductor 114

Results (10 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
114.a1	114b1	114.a	114b	$2$	$2$	\( 2 \cdot 3 \cdot 19 \)	\( 2^{2} \cdot 3^{5} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$20$	$-0.180691$	$96386901625/18468$	$0.97983$	$5.34007$	$[1, 1, 0, -95, -399]$	\(y^2+xy=x^3+x^2-95x-399\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[]$
114.a2	114b2	114.a	114b	$2$	$2$	\( 2 \cdot 3 \cdot 19 \)	\( - 2 \cdot 3^{10} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.5	2B	$456$	$12$	$0$	$1$	$1$		$0$	$40$	$0.165883$	$-69173457625/42633378$	$0.99175$	$5.42313$	$[1, 1, 0, -85, -473]$	\(y^2+xy=x^3+x^2-85x-473\)	2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.?	$[]$
114.b1	114c3	114.b	114c	$4$	$4$	\( 2 \cdot 3 \cdot 19 \)	\( 2^{5} \cdot 3^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.102	2B	$456$	$48$	$0$	$1$	$4$	$2$	$0$	$240$	$1.101439$	$74220219816682217473/16416$	$1.10905$	$9.66040$	$[1, 1, 1, -87552, -10007679]$	\(y^2+xy+y=x^3+x^2-87552x-10007679\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 228.12.0.?, 456.48.0.?	$[]$
114.b2	114c2	114.b	114c	$4$	$4$	\( 2 \cdot 3 \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.4	2Cs	$456$	$48$	$0$	$1$	$1$		$2$	$120$	$0.754866$	$18120364883707393/269485056$	$1.09068$	$7.90419$	$[1, 1, 1, -5472, -158079]$	\(y^2+xy+y=x^3+x^2-5472x-158079\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 228.24.0.?, 456.48.0.?	$[]$
114.b3	114c4	114.b	114c	$4$	$4$	\( 2 \cdot 3 \cdot 19 \)	\( - 2^{5} \cdot 3^{12} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.59	2B	$456$	$48$	$0$	$1$	$1$		$0$	$240$	$1.101439$	$-16576888679672833/2216253521952$	$1.04427$	$7.92928$	$[1, 1, 1, -5312, -167551]$	\(y^2+xy+y=x^3+x^2-5312x-167551\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 456.48.0.?	$[]$
114.b4	114c1	114.b	114c	$4$	$4$	\( 2 \cdot 3 \cdot 19 \)	\( 2^{20} \cdot 3^{3} \cdot 19 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.53	2B	$456$	$48$	$0$	$1$	$1$		$3$	$60$	$0.408292$	$4824238966273/537919488$	$1.00823$	$6.16627$	$[1, 1, 1, -352, -2431]$	\(y^2+xy+y=x^3+x^2-352x-2431\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 114.6.0.?, 228.24.0.?, $\ldots$	$[]$
114.c1	114a3	114.c	114a	$4$	$6$	\( 2 \cdot 3 \cdot 19 \)	\( 2^{2} \cdot 3 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.2	2B, 3B.1.2	$456$	$96$	$1$	$1$	$1$		$1$	$36$	$0.105502$	$8671983378625/82308$	$1.00775$	$6.29009$	$[1, 0, 0, -428, -3444]$	\(y^2+xy=x^3-428x-3444\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.d.1, 24.48.0-24.bx.1.11, $\ldots$	$[]$
114.c2	114a4	114.c	114a	$4$	$6$	\( 2 \cdot 3 \cdot 19 \)	\( - 2 \cdot 3^{2} \cdot 19^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.2	2B, 3B.1.2	$456$	$96$	$1$	$1$	$1$		$0$	$72$	$0.452075$	$-8078253774625/846825858$	$1.01015$	$6.31027$	$[1, 0, 0, -418, -3610]$	\(y^2+xy=x^3-418x-3610\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.a.1, 24.48.0-24.p.1.13, $\ldots$	$[]$
114.c3	114a1	114.c	114a	$4$	$6$	\( 2 \cdot 3 \cdot 19 \)	\( 2^{6} \cdot 3^{3} \cdot 19 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$456$	$96$	$1$	$1$	$1$		$5$	$12$	$-0.443804$	$57066625/32832$	$1.04766$	$3.77090$	$[1, 0, 0, -8, 0]$	\(y^2+xy=x^3-8x\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$	$[]$
114.c4	114a2	114.c	114a	$4$	$6$	\( 2 \cdot 3 \cdot 19 \)	\( - 2^{3} \cdot 3^{6} \cdot 19^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$456$	$96$	$1$	$1$	$1$		$4$	$24$	$-0.097231$	$3616805375/2105352$	$1.07346$	$4.64695$	$[1, 0, 0, 32, 8]$	\(y^2+xy=x^3+32x+8\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$	$[]$