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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
128.a1 128.a \( 2^{7} \) $1$ $\Z/2\Z$ $0.216165582$ $[0, 1, 0, -9, 7]$ \(y^2=x^3+x^2-9x+7\) 2.3.0.a.1, 4.6.0.b.1, 8.24.0-8.h.1.1, 16.48.0-16.c.1.4, 32.96.0-32.c.1.4 $[(3, 4)]$
128.b1 128.b \( 2^{7} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -2, -2]$ \(y^2=x^3+x^2-2x-2\) 2.3.0.a.1, 4.6.0.b.1, 8.24.0-8.h.1.2, 16.48.0-16.c.1.3, 32.96.0-32.c.1.3 $[ ]$
128.c1 128.c \( 2^{7} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -9, -7]$ \(y^2=x^3-x^2-9x-7\) 2.3.0.a.1, 4.6.0.b.1, 8.24.0-8.h.1.1, 16.48.0-16.c.1.2, 32.96.0-32.c.1.2 $[ ]$
128.d1 128.d \( 2^{7} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2, 2]$ \(y^2=x^3-x^2-2x+2\) 2.3.0.a.1, 4.6.0.b.1, 8.24.0-8.h.1.2, 16.48.0-16.c.1.1, 32.96.0-32.c.1.1 $[ ]$
1152.c1 1152.c \( 2^{7} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -21, -34]$ \(y^2=x^3-21x-34\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 24.24.0-8.h.1.1, $\ldots$ $[ ]$
1152.h1 1152.h \( 2^{7} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -21, 34]$ \(y^2=x^3-21x+34\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 24.24.0-8.h.1.1, $\ldots$ $[ ]$
1152.m1 1152.m \( 2^{7} \cdot 3^{2} \) $1$ $\Z/2\Z$ $0.816471691$ $[0, 0, 0, -84, -272]$ \(y^2=x^3-84x-272\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 24.24.0-8.h.1.2, $\ldots$ $[(-6, 4)]$
1152.r1 1152.r \( 2^{7} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -84, 272]$ \(y^2=x^3-84x+272\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 24.24.0-8.h.1.2, $\ldots$ $[ ]$
3200.e1 3200.e \( 2^{7} \cdot 5^{2} \) $1$ $\Z/2\Z$ $1.686044286$ $[0, 1, 0, -233, -1337]$ \(y^2=x^3+x^2-233x-1337\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-11, 4)]$
3200.h1 3200.h \( 2^{7} \cdot 5^{2} \) $1$ $\Z/2\Z$ $2.092399166$ $[0, 1, 0, -58, 138]$ \(y^2=x^3+x^2-58x+138\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-1, 14)]$
3200.u1 3200.u \( 2^{7} \cdot 5^{2} \) $1$ $\Z/2\Z$ $4.884341131$ $[0, -1, 0, -58, -138]$ \(y^2=x^3-x^2-58x-138\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-111/5, 438/5)]$
3200.x1 3200.x \( 2^{7} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -233, 1337]$ \(y^2=x^3-x^2-233x+1337\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
6272.a1 6272.a \( 2^{7} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.435193774$ $[0, 1, 0, -114, -470]$ \(y^2=x^3+x^2-114x-470\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(23, 98)]$
6272.b1 6272.b \( 2^{7} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.035144407$ $[0, 1, 0, -457, 3303]$ \(y^2=x^3+x^2-457x+3303\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(2, 49)]$
6272.g1 6272.g \( 2^{7} \cdot 7^{2} \) $1$ $\Z/2\Z$ $2.310280972$ $[0, -1, 0, -114, 470]$ \(y^2=x^3-x^2-114x+470\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(73/3, 98/3)]$
6272.h1 6272.h \( 2^{7} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -457, -3303]$ \(y^2=x^3-x^2-457x-3303\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
15488.c1 15488.c \( 2^{7} \cdot 11^{2} \) $1$ $\Z/2\Z$ $2.069523389$ $[0, 1, 0, -1129, -13785]$ \(y^2=x^3+x^2-1129x-13785\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-17, 28)]$
15488.d1 15488.d \( 2^{7} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -282, 1582]$ \(y^2=x^3+x^2-282x+1582\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
15488.u1 15488.u \( 2^{7} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1129, 13785]$ \(y^2=x^3-x^2-1129x+13785\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
15488.v1 15488.v \( 2^{7} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -282, -1582]$ \(y^2=x^3-x^2-282x-1582\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
21632.c1 21632.c \( 2^{7} \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.624640990$ $[0, 1, 0, -394, -2898]$ \(y^2=x^3+x^2-394x-2898\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-13, 14)]$
21632.l1 21632.l \( 2^{7} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -1577, 21607]$ \(y^2=x^3+x^2-1577x+21607\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
21632.be1 21632.be \( 2^{7} \cdot 13^{2} \) $1$ $\Z/2\Z$ $9.585906860$ $[0, -1, 0, -394, 2898]$ \(y^2=x^3-x^2-394x+2898\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(3213/29, 923538/29)]$
21632.bj1 21632.bj \( 2^{7} \cdot 13^{2} \) $1$ $\Z/2\Z$ $9.831440612$ $[0, -1, 0, -1577, -21607]$ \(y^2=x^3-x^2-1577x-21607\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-31373/37, 2249460/37)]$
28800.d1 28800.d \( 2^{7} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $2.566889667$ $[0, 0, 0, -525, 4250]$ \(y^2=x^3-525x+4250\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-26, 18)]$
28800.k1 28800.k \( 2^{7} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $2.243664057$ $[0, 0, 0, -2100, 34000]$ \(y^2=x^3-2100x+34000\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(45, 175)]$
28800.du1 28800.du \( 2^{7} \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2100, -34000]$ \(y^2=x^3-2100x-34000\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
28800.dz1 28800.dz \( 2^{7} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $6.764786060$ $[0, 0, 0, -525, -4250]$ \(y^2=x^3-525x-4250\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(3865/6, 234325/6)]$
36992.a1 36992.a \( 2^{7} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -674, 5962]$ \(y^2=x^3+x^2-674x+5962\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
36992.b1 36992.b \( 2^{7} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -2697, -50393]$ \(y^2=x^3+x^2-2697x-50393\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
36992.c1 36992.c \( 2^{7} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -674, -5962]$ \(y^2=x^3-x^2-674x-5962\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
36992.d1 36992.d \( 2^{7} \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.687347627$ $[0, -1, 0, -2697, 50393]$ \(y^2=x^3-x^2-2697x+50393\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(41, 84)]$
46208.a1 46208.a \( 2^{7} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -3369, 67975]$ \(y^2=x^3+x^2-3369x+67975\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
46208.b1 46208.b \( 2^{7} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -842, -8918]$ \(y^2=x^3+x^2-842x-8918\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
46208.k1 46208.k \( 2^{7} \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.850846705$ $[0, -1, 0, -3369, -67975]$ \(y^2=x^3-x^2-3369x-67975\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-323/3, 1988/3)]$
46208.l1 46208.l \( 2^{7} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -842, 8918]$ \(y^2=x^3-x^2-842x+8918\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
56448.v1 56448.v \( 2^{7} \cdot 3^{2} \cdot 7^{2} \) $2$ $\Z/2\Z$ $1.290160714$ $[0, 0, 0, -4116, 93296]$ \(y^2=x^3-4116x+93296\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(14, 196), (56, 196)]$
56448.y1 56448.y \( 2^{7} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $2.151508639$ $[0, 0, 0, -4116, -93296]$ \(y^2=x^3-4116x-93296\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(84, 392)]$
56448.ct1 56448.ct \( 2^{7} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $4.168331015$ $[0, 0, 0, -1029, -11662]$ \(y^2=x^3-1029x-11662\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(434, 9016)]$
56448.cw1 56448.cw \( 2^{7} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $2.924591693$ $[0, 0, 0, -1029, 11662]$ \(y^2=x^3-1029x+11662\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(126, 1372)]$
67712.b1 67712.b \( 2^{7} \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.581286145$ $[0, 1, 0, -1234, 14910]$ \(y^2=x^3+x^2-1234x+14910\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(107, 1058)]$
67712.c1 67712.c \( 2^{7} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -4937, -124217]$ \(y^2=x^3+x^2-4937x-124217\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
67712.n1 67712.n \( 2^{7} \cdot 23^{2} \) $1$ $\Z/2\Z$ $12.11807770$ $[0, -1, 0, -1234, -14910]$ \(y^2=x^3-x^2-1234x-14910\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(4049733/91, 8119729974/91)]$
67712.o1 67712.o \( 2^{7} \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.547702050$ $[0, -1, 0, -4937, 124217]$ \(y^2=x^3-x^2-4937x+124217\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-272/9, 273493/9)]$
107648.d1 107648.d \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $8.501241423$ $[0, 1, 0, -7849, -248313]$ \(y^2=x^3+x^2-7849x-248313\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-6787/13, 134428/13)]$
107648.f1 107648.f \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $8.515854410$ $[0, 1, 0, -1962, 30058]$ \(y^2=x^3+x^2-1962x+30058\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(3111/13, 49990/13)]$
107648.bm1 107648.bm \( 2^{7} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -7849, 248313]$ \(y^2=x^3-x^2-7849x+248313\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
107648.bo1 107648.bo \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $39.44808851$ $[0, -1, 0, -1962, -30058]$ \(y^2=x^3-x^2-1962x-30058\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-114621977014971991/66845633, 15616423524782214782311230/66845633)]$
123008.a1 123008.a \( 2^{7} \cdot 31^{2} \) $1$ $\Z/2\Z$ $3.681125906$ $[0, 1, 0, -8969, 297127]$ \(y^2=x^3+x^2-8969x+297127\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(377/4, 20181/4)]$
123008.b1 123008.b \( 2^{7} \cdot 31^{2} \) $1$ $\Z/2\Z$ $5.564710277$ $[0, 1, 0, -2242, -38262]$ \(y^2=x^3+x^2-2242x-38262\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(7411/5, 630416/5)]$
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