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Results (38 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
1170.c4 1170.c \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.447270808$ $[1, -1, 0, 876, 7568]$ \(y^2+xy=x^3-x^2+876x+7568\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 78.48.0.?, 120.48.0.?, $\ldots$ $[(19, 166)]$
1170.h4 1170.h \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/6\Z$ $1.566843340$ $[1, -1, 1, 97, -313]$ \(y^2+xy+y=x^3-x^2+97x-313\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 78.48.0.?, 120.48.0.?, $\ldots$ $[(13, 48)]$
5850.z4 5850.z \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.811540066$ $[1, -1, 0, 2433, -36659]$ \(y^2+xy=x^3-x^2+2433x-36659\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.15, $\ldots$ $[(54, 473)]$
5850.ca4 5850.ca \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 21895, 967897]$ \(y^2+xy+y=x^3-x^2+21895x+967897\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.7, $\ldots$ $[ ]$
9360.ba4 9360.ba \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.632682681$ $[0, 0, 0, 1557, 18458]$ \(y^2=x^3+1557x+18458\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 78.24.0.?, $\ldots$ $[(-1, 130)]$
9360.bz4 9360.bz \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 14013, -498366]$ \(y^2=x^3+14013x-498366\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 78.24.0.?, $\ldots$ $[ ]$
15210.w4 15210.w \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 16446, -637740]$ \(y^2+xy=x^3-x^2+16446x-637740\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 39.8.0-3.a.1.1, 78.48.0.?, $\ldots$ $[ ]$
15210.bj4 15210.bj \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 148012, 17070967]$ \(y^2+xy+y=x^3-x^2+148012x+17070967\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 39.8.0-3.a.1.2, 78.48.0.?, $\ldots$ $[ ]$
37440.f4 37440.f \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $4.082362263$ $[0, 0, 0, 56052, 3986928]$ \(y^2=x^3+56052x+3986928\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0-6.a.1.12, $\ldots$ $[(-56, 820)]$
37440.cr4 37440.cr \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 56052, -3986928]$ \(y^2=x^3+56052x-3986928\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0-6.a.1.5, $\ldots$ $[ ]$
37440.dc4 37440.dc \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 6228, -147664]$ \(y^2=x^3+6228x-147664\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0-6.a.1.8, $\ldots$ $[ ]$
37440.fr4 37440.fr \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $4.011152095$ $[0, 0, 0, 6228, 147664]$ \(y^2=x^3+6228x+147664\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0-6.a.1.9, $\ldots$ $[(5, 423)]$
46800.k4 46800.k \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 350325, -62295750]$ \(y^2=x^3+350325x-62295750\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 60.24.0-6.a.1.2, $\ldots$ $[ ]$
46800.m4 46800.m \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 38925, 2307250]$ \(y^2=x^3+38925x+2307250\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 60.24.0-6.a.1.4, $\ldots$ $[ ]$
57330.o4 57330.o \( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 42915, -2681659]$ \(y^2+xy=x^3-x^2+42915x-2681659\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ $[ ]$
57330.ep4 57330.ep \( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 4768, 97731]$ \(y^2+xy+y=x^3-x^2+4768x+97731\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ $[ ]$
76050.i4 76050.i \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.009197976$ $[1, -1, 0, 3700308, 2137571216]$ \(y^2+xy=x^3-x^2+3700308x+2137571216\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.1, 30.24.0-6.a.1.3, $\ldots$ $[(26504, 4313148)]$
76050.do4 76050.do \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 411145, -79306353]$ \(y^2+xy+y=x^3-x^2+411145x-79306353\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.9, 30.24.0-6.a.1.4, $\ldots$ $[ ]$
121680.g4 121680.g \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 2368197, -1094910102]$ \(y^2=x^3+2368197x-1094910102\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 78.24.0.?, $\ldots$ $[ ]$
121680.db4 121680.db \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.668080613$ $[0, 0, 0, 263133, 40552226]$ \(y^2=x^3+263133x+40552226\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 78.24.0.?, $\ldots$ $[(3367, 197730)]$
141570.bj4 141570.bj \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 11775, 380925]$ \(y^2+xy=x^3-x^2+11775x+380925\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 66.24.0-6.a.1.2, $\ldots$ $[ ]$
141570.ew4 141570.ew \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 105973, -10390949]$ \(y^2+xy+y=x^3-x^2+105973x-10390949\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 66.24.0-6.a.1.1, $\ldots$ $[ ]$
187200.ba4 187200.ba \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.741190397$ $[0, 0, 0, 1401300, -498366000]$ \(y^2=x^3+1401300x-498366000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 78.24.0.?, $\ldots$ $[(1005, 43875)]$
187200.bg4 187200.bg \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.453119381$ $[0, 0, 0, 155700, 18458000]$ \(y^2=x^3+155700x+18458000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 78.24.0.?, $\ldots$ $[(146, 6656)]$
187200.pk4 187200.pk \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 1401300, 498366000]$ \(y^2=x^3+1401300x+498366000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 78.24.0.?, $\ldots$ $[ ]$
187200.pq4 187200.pq \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 155700, -18458000]$ \(y^2=x^3+155700x-18458000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 78.24.0.?, $\ldots$ $[ ]$
286650.dz4 286650.dz \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.129666098$ $[1, -1, 0, 119208, 12335616]$ \(y^2+xy=x^3-x^2+119208x+12335616\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 78.24.0.?, 105.8.0.?, $\ldots$ $[(24, 3888)]$
286650.ne4 286650.ne \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 1072870, -334134503]$ \(y^2+xy+y=x^3-x^2+1072870x-334134503\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 78.24.0.?, 105.8.0.?, $\ldots$ $[ ]$
338130.z4 338130.z \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 253110, 38194100]$ \(y^2+xy=x^3-x^2+253110x+38194100\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.1, 78.24.0.?, $\ldots$ $[ ]$
338130.eh4 338130.eh \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 28123, -1423971]$ \(y^2+xy+y=x^3-x^2+28123x-1423971\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.2, 78.24.0.?, $\ldots$ $[ ]$
422370.d4 422370.d \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 35130, 1969396]$ \(y^2+xy=x^3-x^2+35130x+1969396\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 57.8.0-3.a.1.1, 78.24.0.?, $\ldots$ $[ ]$
422370.et4 422370.et \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 316168, -53489861]$ \(y^2+xy+y=x^3-x^2+316168x-53489861\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 57.8.0-3.a.1.2, 78.24.0.?, $\ldots$ $[ ]$
458640.cp4 458640.cp \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.763120395$ $[0, 0, 0, 686637, 170939538]$ \(y^2=x^3+686637x+170939538\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 78.24.0.?, 84.24.0.?, $\ldots$ $[(2199, 110970)]$
458640.lc4 458640.lc \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 76293, -6331094]$ \(y^2=x^3+76293x-6331094\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 78.24.0.?, 84.24.0.?, $\ldots$ $[ ]$
486720.p4 486720.p \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) $2$ $\Z/2\Z$ $12.88033933$ $[0, 0, 0, 1052532, 324417808]$ \(y^2=x^3+1052532x+324417808\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 60.24.0-6.a.1.11, $\ldots$ $[(482, 30720), (221, 23829)]$
486720.hr4 486720.hr \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) $1$ $\Z/2\Z$ $11.70799910$ $[0, 0, 0, 1052532, -324417808]$ \(y^2=x^3+1052532x-324417808\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 60.24.0-6.a.1.6, $\ldots$ $[(6563336/31, 16994798860/31)]$
486720.jh4 486720.jh \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) $1$ $\Z/2\Z$ $15.01191710$ $[0, 0, 0, 9472788, -8759280816]$ \(y^2=x^3+9472788x-8759280816\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 60.24.0-6.a.1.7, $\ldots$ $[(153650602/93, 1931495057920/93)]$
486720.qh4 486720.qh \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 9472788, 8759280816]$ \(y^2=x^3+9472788x+8759280816\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 60.24.0-6.a.1.10, $\ldots$ $[ ]$
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