Elliptic curve search results

Results (14 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
19950.b2	19950o1	19950.b	19950o	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2 \cdot 3 \cdot 5^{4} \cdot 7 \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.4	5B.1.3	$15960$	$48$	$1$	$1$	$1$		$0$	$24000$	$0.762946$	$-43308090025/103996158$	$0.91855$	$3.28940$	$[1, 1, 0, -625, -13925]$	\(y^2+xy=x^3+x^2-625x-13925\)	5.24.0-5.a.2.1, 3192.2.0.?, 15960.48.1.?	$[]$
19950.da1	19950cv2	19950.da	19950cv	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2 \cdot 3 \cdot 5^{10} \cdot 7 \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.3	5B.1.2	$15960$	$48$	$1$	$1$	$25$	$5$	$0$	$120000$	$1.567665$	$-43308090025/103996158$	$0.91855$	$4.26472$	$[1, 0, 0, -15638, -1709358]$	\(y^2+xy=x^3-15638x-1709358\)	5.24.0-5.a.2.2, 3192.2.0.?, 15960.48.1.?	$[]$
59850.dg1	59850cc2	59850.dg	59850cc	$2$	$5$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$5.212499171$	$1$		$2$	$960000$	$2.116970$	$-43308090025/103996158$	$0.91855$	$4.43803$	$[1, -1, 0, -140742, 46152666]$	\(y^2+xy=x^3-x^2-140742x+46152666\)	5.12.0.a.2, 15.24.0-5.a.2.1, 3192.2.0.?, 5320.24.0.?, 15960.48.1.?	$[(-417, 5883)]$
59850.eo2	59850fv1	59850.eo	59850fv	$2$	$5$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2 \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$1$	$1$		$0$	$192000$	$1.312252$	$-43308090025/103996158$	$0.91855$	$3.56012$	$[1, -1, 1, -5630, 370347]$	\(y^2+xy+y=x^3-x^2-5630x+370347\)	5.12.0.a.2, 15.24.0-5.a.2.2, 3192.2.0.?, 5320.24.0.?, 15960.48.1.?	$[]$
139650.cz2	139650fn1	139650.cz	139650fn	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3 \cdot 5^{4} \cdot 7^{7} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$0.284866709$	$1$		$2$	$1152000$	$1.735901$	$-43308090025/103996158$	$0.91855$	$3.73463$	$[1, 0, 1, -30651, 4684348]$	\(y^2+xy+y=x^3-30651x+4684348\)	5.12.0.a.2, 35.24.0-5.a.2.1, 2280.24.0.?, 3192.2.0.?, 15960.48.1.?	$[(382, 6791)]$
139650.ex1	139650dw2	139650.ex	139650dw	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3 \cdot 5^{10} \cdot 7^{7} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$1$	$1$		$0$	$5760000$	$2.540619$	$-43308090025/103996158$	$0.91855$	$4.54974$	$[1, 1, 1, -766263, 585543531]$	\(y^2+xy+y=x^3+x^2-766263x+585543531\)	5.12.0.a.2, 35.24.0-5.a.2.2, 2280.24.0.?, 3192.2.0.?, 15960.48.1.?	$[]$
159600.bk1	159600ev2	159600.bk	159600ev	$2$	$5$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{13} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$1.511102459$	$1$		$2$	$2880000$	$2.260811$	$-43308090025/103996158$	$0.91855$	$4.21877$	$[0, -1, 0, -250208, 109398912]$	\(y^2=x^3-x^2-250208x+109398912\)	5.12.0.a.2, 20.24.0-5.a.2.2, 3192.2.0.?, 15960.48.1.?	$[(408, 8664)]$
159600.gq2	159600f1	159600.gq	159600f	$2$	$5$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{13} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$1$	$1$		$0$	$576000$	$1.456093$	$-43308090025/103996158$	$0.91855$	$3.41273$	$[0, 1, 0, -10008, 871188]$	\(y^2=x^3+x^2-10008x+871188\)	5.12.0.a.2, 20.24.0-5.a.2.1, 3192.2.0.?, 15960.48.1.?	$[]$
379050.bi1	379050bi2	379050.bi	379050bi	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2 \cdot 3 \cdot 5^{10} \cdot 7 \cdot 19^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$9.558171532$	$1$		$0$	$43200000$	$3.039883$	$-43308090025/103996158$	$0.91855$	$4.66248$	$[1, 1, 0, -5645325, 11713195875]$	\(y^2+xy=x^3+x^2-5645325x+11713195875\)	5.12.0.a.2, 95.24.0.?, 840.24.0.?, 3192.2.0.?, 15960.48.1.?	$[(101699/55, 17857109883/55)]$
379050.if2	379050if1	379050.if	379050if	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2 \cdot 3 \cdot 5^{4} \cdot 7 \cdot 19^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$17.93232888$	$1$		$0$	$8640000$	$2.235165$	$-43308090025/103996158$	$0.91855$	$3.91072$	$[1, 0, 0, -225813, 93705567]$	\(y^2+xy=x^3-225813x+93705567\)	5.12.0.a.2, 95.24.0.?, 840.24.0.?, 3192.2.0.?, 15960.48.1.?	$[(-4831889461/7930, 5263674026528003/7930)]$
418950.gv1	418950gv2	418950.gv	418950gv	$2$	$5$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 7^{7} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$1$	$1$		$0$	$46080000$	$3.089928$	$-43308090025/103996158$	$0.91855$	$4.67282$	$[1, -1, 0, -6896367, -15816571709]$	\(y^2+xy=x^3-x^2-6896367x-15816571709\)	5.12.0.a.2, 105.24.0.?, 760.24.0.?, 3192.2.0.?, 15960.48.1.?	$[]$
418950.pm2	418950pm1	418950.pm	418950pm	$2$	$5$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{7} \cdot 5^{4} \cdot 7^{7} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$1$	$1$		$0$	$9216000$	$2.285206$	$-43308090025/103996158$	$0.91855$	$3.92687$	$[1, -1, 1, -275855, -126477403]$	\(y^2+xy+y=x^3-x^2-275855x-126477403\)	5.12.0.a.2, 105.24.0.?, 760.24.0.?, 3192.2.0.?, 15960.48.1.?	$[]$
478800.by1	478800by2	478800.by	478800by	$2$	$5$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$1$	$1$		$0$	$23040000$	$2.810120$	$-43308090025/103996158$	$0.91855$	$4.36839$	$[0, 0, 0, -2251875, -2951518750]$	\(y^2=x^3-2251875x-2951518750\)	5.12.0.a.2, 60.24.0-5.a.2.2, 3192.2.0.?, 5320.24.0.?, 15960.48.1.?	$[]$
478800.jf2	478800jf1	478800.jf	478800jf	$2$	$5$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 19^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$15960$	$48$	$1$	$0.525360935$	$1$		$24$	$4608000$	$2.005398$	$-43308090025/103996158$	$0.91855$	$3.63006$	$[0, 0, 0, -90075, -23612150]$	\(y^2=x^3-90075x-23612150\)	5.12.0.a.2, 60.24.0-5.a.2.1, 3192.2.0.?, 5320.24.0.?, 15960.48.1.?	$[(485, 6840), (6470, 519840)]$