Elliptic curve search results

Results (30 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
1330.a1	1330f1	1330.a	1330f	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 5^{5} \cdot 7 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2660$	$2$	$0$	$0.064224642$	$1$		$12$	$480$	$-0.008162$	$-781229961/6650000$	$0.89242$	$3.22964$	$[1, -1, 0, -19, 133]$	\(y^2+xy=x^3-x^2-19x+133\)	2660.2.0.?	$[(2, 9)]$
6650.bj1	6650ba1	6650.bj	6650ba	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 5^{11} \cdot 7 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$11520$	$0.796556$	$-781229961/6650000$	$0.89242$	$3.73618$	$[1, -1, 1, -480, 16147]$	\(y^2+xy+y=x^3-x^2-480x+16147\)	2660.2.0.?	$[]$
9310.m1	9310b1	9310.m	9310b	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{5} \cdot 7^{7} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$23040$	$0.964793$	$-781229961/6650000$	$0.89242$	$3.81953$	$[1, -1, 0, -940, -43744]$	\(y^2+xy=x^3-x^2-940x-43744\)	2660.2.0.?	$[]$
10640.be1	10640ba1	10640.be	10640ba	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{16} \cdot 5^{5} \cdot 7 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$11520$	$0.684985$	$-781229961/6650000$	$0.89242$	$3.40241$	$[0, 0, 0, -307, -8206]$	\(y^2=x^3-307x-8206\)	2660.2.0.?	$[]$
11970.bf1	11970bt1	11970.bf	11970bt	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$6720$	$0.541143$	$-781229961/6650000$	$0.89242$	$3.17591$	$[1, -1, 1, -173, -3419]$	\(y^2+xy+y=x^3-x^2-173x-3419\)	2660.2.0.?	$[]$
25270.y1	25270w1	25270.y	25270w	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$172800$	$1.464058$	$-781229961/6650000$	$0.89242$	$4.03430$	$[1, -1, 1, -6927, -877721]$	\(y^2+xy+y=x^3-x^2-6927x-877721\)	2660.2.0.?	$[]$
42560.b1	42560ct1	42560.b	42560ct	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{22} \cdot 5^{5} \cdot 7 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.031559$	$-781229961/6650000$	$0.89242$	$3.35007$	$[0, 0, 0, -1228, -65648]$	\(y^2=x^3-1228x-65648\)	2660.2.0.?	$[]$
42560.dg1	42560d1	42560.dg	42560d	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{22} \cdot 5^{5} \cdot 7 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$3.551726637$	$1$		$0$	$92160$	$1.031559$	$-781229961/6650000$	$0.89242$	$3.35007$	$[0, 0, 0, -1228, 65648]$	\(y^2=x^3-1228x+65648\)	2660.2.0.?	$[(94/3, 6272/3)]$
46550.bq1	46550cf1	46550.bq	46550cf	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{11} \cdot 7^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$0.926175907$	$1$		$4$	$552960$	$1.769512$	$-781229961/6650000$	$0.89242$	$4.14603$	$[1, -1, 1, -23505, -5491503]$	\(y^2+xy+y=x^3-x^2-23505x-5491503\)	2660.2.0.?	$[(989, 30130)]$
53200.e1	53200bo1	53200.e	53200bo	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{16} \cdot 5^{11} \cdot 7 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.489704$	$-781229961/6650000$	$0.89242$	$3.78659$	$[0, 0, 0, -7675, -1025750]$	\(y^2=x^3-7675x-1025750\)	2660.2.0.?	$[]$
59850.cv1	59850ch1	59850.cv	59850ch	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{11} \cdot 7 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.345863$	$-781229961/6650000$	$0.89242$	$3.58912$	$[1, -1, 0, -4317, -431659]$	\(y^2+xy=x^3-x^2-4317x-431659\)	2660.2.0.?	$[]$
74480.a1	74480bw1	74480.a	74480bw	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{16} \cdot 5^{5} \cdot 7^{7} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.657940$	$-781229961/6650000$	$0.89242$	$3.85298$	$[0, 0, 0, -15043, 2814658]$	\(y^2=x^3-15043x+2814658\)	2660.2.0.?	$[]$
83790.fh1	83790fb1	83790.fh	83790fb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{5} \cdot 7^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$0.342115703$	$1$		$4$	$322560$	$1.514099$	$-781229961/6650000$	$0.89242$	$3.66068$	$[1, -1, 1, -8462, 1189549]$	\(y^2+xy+y=x^3-x^2-8462x+1189549\)	2660.2.0.?	$[(107, 1171)]$
95760.bw1	95760dl1	95760.bw	95760dl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.234291$	$-781229961/6650000$	$0.89242$	$3.32532$	$[0, 0, 0, -2763, 221562]$	\(y^2=x^3-2763x+221562\)	2660.2.0.?	$[]$
126350.c1	126350z1	126350.c	126350z	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{11} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$3.129441656$	$1$		$2$	$4147200$	$2.268776$	$-781229961/6650000$	$0.89242$	$4.30363$	$[1, -1, 0, -173167, -109888259]$	\(y^2+xy=x^3-x^2-173167x-109888259\)	2660.2.0.?	$[(4014, 250693)]$
160930.bh1	160930a1	160930.bh	160930a	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{5} \cdot 7 \cdot 11^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$0.668369253$	$1$		$4$	$691200$	$1.190784$	$-781229961/6650000$	$0.89242$	$3.13778$	$[1, -1, 1, -2322, -170079]$	\(y^2+xy+y=x^3-x^2-2322x-170079\)	2660.2.0.?	$[(91, 559)]$
176890.ch1	176890d1	176890.ch	176890d	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{5} \cdot 7^{7} \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$0.989986038$	$1$		$14$	$8294400$	$2.437012$	$-781229961/6650000$	$0.89242$	$4.35086$	$[1, -1, 1, -339408, 301737027]$	\(y^2+xy+y=x^3-x^2-339408x+301737027\)	2660.2.0.?	$[(-33, 17705), (-565, 17971)]$
202160.c1	202160a1	202160.c	202160a	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{16} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$0.540048034$	$1$		$4$	$4147200$	$2.157204$	$-781229961/6650000$	$0.89242$	$4.02847$	$[0, 0, 0, -110827, 56284954]$	\(y^2=x^3-110827x+56284954\)	2660.2.0.?	$[(703, 18050)]$
212800.r1	212800fg1	212800.r	212800fg	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{22} \cdot 5^{11} \cdot 7 \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1.663209167$	$1$		$10$	$2211840$	$1.836277$	$-781229961/6650000$	$0.89242$	$3.69771$	$[0, 0, 0, -30700, 8206000]$	\(y^2=x^3-30700x+8206000\)	2660.2.0.?	$[(120, 2500), (-90, 3200)]$
212800.kk1	212800ew1	212800.kk	212800ew	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{22} \cdot 5^{11} \cdot 7 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$10.44326684$	$1$		$0$	$2211840$	$1.836277$	$-781229961/6650000$	$0.89242$	$3.69771$	$[0, 0, 0, -30700, -8206000]$	\(y^2=x^3-30700x-8206000\)	2660.2.0.?	$[(2465020/27, 3864565000/27)]$
224770.x1	224770b1	224770.x	224770b	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{5} \cdot 7 \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1.540120494$	$1$		$2$	$1036800$	$1.274313$	$-781229961/6650000$	$0.89242$	$3.13405$	$[1, -1, 1, -3243, 282507]$	\(y^2+xy+y=x^3-x^2-3243x+282507\)	2660.2.0.?	$[(75, 638)]$
227430.k1	227430fe1	227430.k	227430fe	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$4.659606569$	$1$		$0$	$2419200$	$2.013363$	$-781229961/6650000$	$0.89242$	$3.85006$	$[1, -1, 0, -62340, 23760800]$	\(y^2+xy=x^3-x^2-62340x+23760800\)	2660.2.0.?	$[(1432/3, 111928/3)]$
297920.f1	297920f1	297920.f	297920f	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{22} \cdot 5^{5} \cdot 7^{7} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$0.888652437$	$1$		$18$	$4423680$	$2.004513$	$-781229961/6650000$	$0.89242$	$3.75917$	$[0, 0, 0, -60172, -22517264]$	\(y^2=x^3-60172x-22517264\)	2660.2.0.?	$[(1022, 31360), (532, 9800)]$
297920.hx1	297920hx1	297920.hx	297920hx	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{22} \cdot 5^{5} \cdot 7^{7} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$4423680$	$2.004513$	$-781229961/6650000$	$0.89242$	$3.75917$	$[0, 0, 0, -60172, 22517264]$	\(y^2=x^3-60172x+22517264\)	2660.2.0.?	$[]$
372400.kt1	372400kt1	372400.kt	372400kt	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{16} \cdot 5^{11} \cdot 7^{7} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$13271040$	$2.462658$	$-781229961/6650000$	$0.89242$	$4.12236$	$[0, 0, 0, -376075, 351832250]$	\(y^2=x^3-376075x+351832250\)	2660.2.0.?	$[]$
383040.jn1	383040jn1	383040.jn	383040jn	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{22} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$2.353347751$	$1$		$2$	$1290240$	$1.580864$	$-781229961/6650000$	$0.89242$	$3.29024$	$[0, 0, 0, -11052, -1772496]$	\(y^2=x^3-11052x-1772496\)	2660.2.0.?	$[(1078, 35200)]$
383040.np1	383040np1	383040.np	383040np	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{22} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$1$	$1$		$0$	$1290240$	$1.580864$	$-781229961/6650000$	$0.89242$	$3.29024$	$[0, 0, 0, -11052, 1772496]$	\(y^2=x^3-11052x+1772496\)	2660.2.0.?	$[]$
384370.u1	384370u1	384370.u	384370u	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{5} \cdot 7 \cdot 17^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$10.97132462$	$1$		$0$	$2480640$	$1.408443$	$-781229961/6650000$	$0.89242$	$3.12845$	$[1, -1, 0, -5545, 631325]$	\(y^2+xy=x^3-x^2-5545x+631325\)	2660.2.0.?	$[(115942/3, 39302833/3)]$
418950.dr1	418950dr1	418950.dr	418950dr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{11} \cdot 7^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$2.539329244$	$1$		$2$	$7741440$	$2.318817$	$-781229961/6650000$	$0.89242$	$3.95152$	$[1, -1, 0, -211542, 148482116]$	\(y^2+xy=x^3-x^2-211542x+148482116\)	2660.2.0.?	$[(464, 12018)]$
478800.ei1	478800ei1	478800.ei	478800ei	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{11} \cdot 7 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2660$	$2$	$0$	$4.147953808$	$1$		$0$	$3870720$	$2.039009$	$-781229961/6650000$	$0.89242$	$3.65445$	$[0, 0, 0, -69075, 27695250]$	\(y^2=x^3-69075x+27695250\)	2660.2.0.?	$[(-1505/3, 158750/3)]$