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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
19320.a1 19320.a \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.073909112$ $[0, -1, 0, -66256, 6586396]$ \(y^2=x^3-x^2-66256x+6586396\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$
19320.a2 19320.a \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.536954556$ $[0, -1, 0, -4156, 103156]$ \(y^2=x^3-x^2-4156x+103156\) 2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 84.24.0.?, 460.12.0.?, $\ldots$
19320.a3 19320.a \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.073909112$ $[0, -1, 0, -511, -1820]$ \(y^2=x^3-x^2-511x-1820\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$
19320.a4 19320.a \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.073909112$ $[0, -1, 0, -376, 280060]$ \(y^2=x^3-x^2-376x+280060\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$
19320.b1 19320.b \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1055516, 402388980]$ \(y^2=x^3-x^2-1055516x+402388980\) 2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?
19320.b2 19320.b \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 506984, 1490513980]$ \(y^2=x^3-x^2+506984x+1490513980\) 2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?
19320.c1 19320.c \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1016, -12084]$ \(y^2=x^3-x^2-1016x-12084\) 2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?
19320.c2 19320.c \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -96, 60]$ \(y^2=x^3-x^2-96x+60\) 2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?
19320.d1 19320.d \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.446022378$ $[0, -1, 0, -13616, 615756]$ \(y^2=x^3-x^2-13616x+615756\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.2, 184.12.0.?, $\ldots$
19320.d2 19320.d \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.723011189$ $[0, -1, 0, -1016, 5916]$ \(y^2=x^3-x^2-1016x+5916\) 2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0-2.a.1.1, 92.12.0.?, 280.24.0.?, $\ldots$
19320.d3 19320.d \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $0.861505594$ $[0, -1, 0, -516, -4284]$ \(y^2=x^3-x^2-516x-4284\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.4, 92.12.0.?, $\ldots$
19320.d4 19320.d \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.446022378$ $[0, -1, 0, 3584, 40876]$ \(y^2=x^3-x^2+3584x+40876\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0-4.c.1.5, 92.12.0.?, $\ldots$
19320.e1 19320.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.589802588$ $[0, -1, 0, -131696, -7482804]$ \(y^2=x^3-x^2-131696x-7482804\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.bb.1.14, 92.12.0.?, $\ldots$
19320.e2 19320.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.179605176$ $[0, -1, 0, -108696, -13748004]$ \(y^2=x^3-x^2-108696x-13748004\) 2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.3, 92.12.0.?, $\ldots$
19320.e3 19320.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.589802588$ $[0, -1, 0, -108676, -13753340]$ \(y^2=x^3-x^2-108676x-13753340\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.bb.1.1, $\ldots$
19320.e4 19320.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $14.35921035$ $[0, -1, 0, -86016, -19672020]$ \(y^2=x^3-x^2-86016x-19672020\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.1, 56.24.0-56.v.1.2, $\ldots$
19320.f1 19320.f \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -188056, 22811356]$ \(y^2=x^3-x^2-188056x+22811356\) 2.3.0.a.1, 56.6.0.c.1, 690.6.0.?, 19320.12.0.?
19320.f2 19320.f \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 484224, 148393260]$ \(y^2=x^3-x^2+484224x+148393260\) 2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.?
19320.g1 19320.g \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\mathsf{trivial}$ $0.508858157$ $[0, -1, 0, -1, 85]$ \(y^2=x^3-x^2-x+85\) 966.2.0.?
19320.h1 19320.h \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1296, -14580]$ \(y^2=x^3-x^2-1296x-14580\) 2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?
19320.h2 19320.h \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -376, 2716]$ \(y^2=x^3-x^2-376x+2716\) 2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?
19320.i1 19320.i \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -401000, 48187500]$ \(y^2=x^3-x^2-401000x+48187500\) 2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?
19320.i2 19320.i \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 85680, 5554332]$ \(y^2=x^3-x^2+85680x+5554332\) 2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?
19320.j1 19320.j \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.261752886$ $[0, -1, 0, -2837280, -1832060100]$ \(y^2=x^3-x^2-2837280x-1832060100\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$
19320.j2 19320.j \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.630876443$ $[0, -1, 0, -264780, 2646900]$ \(y^2=x^3-x^2-264780x+2646900\) 2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 84.24.0.?, 420.48.0.?
19320.j3 19320.j \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/4\Z$ $3.261752886$ $[0, -1, 0, -186655, 31021900]$ \(y^2=x^3-x^2-186655x+31021900\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 42.6.0.a.1, 84.24.0.?, $\ldots$
19320.j4 19320.j \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.261752886$ $[0, -1, 0, 1057720, 20103900]$ \(y^2=x^3-x^2+1057720x+20103900\) 2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 168.24.0.?, 840.48.0.?
19320.k1 19320.k \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -678160, -208646900]$ \(y^2=x^3-x^2-678160x-208646900\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 184.96.0.?, 336.96.0.?, $\ldots$
19320.k2 19320.k \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -103160, 8243100]$ \(y^2=x^3-x^2-103160x+8243100\) 2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.2.4, 168.96.0.?, 184.96.0.?, $\ldots$
19320.k3 19320.k \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $[0, -1, 0, -92580, 10871172]$ \(y^2=x^3-x^2-92580x+10871172\) 2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 84.48.0.?, 168.96.0.?, $\ldots$
19320.k4 19320.k \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -92575, 10872400]$ \(y^2=x^3-x^2-92575x+10872400\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.2.7, 42.6.0.a.1, $\ldots$
19320.k5 19320.k \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -82080, 13420572]$ \(y^2=x^3-x^2-82080x+13420572\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 84.24.0.?, 168.96.0.?, $\ldots$
19320.k6 19320.k \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 302560, 56767212]$ \(y^2=x^3-x^2+302560x+56767212\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.1.6, 168.48.0.?, $\ldots$
19320.l1 19320.l \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $1.068769837$ $[0, -1, 0, -36120, -2466468]$ \(y^2=x^3-x^2-36120x-2466468\) 2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 322.6.0.?, 644.24.0.?, $\ldots$
19320.l2 19320.l \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.534384918$ $[0, -1, 0, -7140, 188100]$ \(y^2=x^3-x^2-7140x+188100\) 2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 644.24.0.?, 3220.48.0.?
19320.l3 19320.l \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $1.068769837$ $[0, -1, 0, -6735, 214992]$ \(y^2=x^3-x^2-6735x+214992\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$
19320.l4 19320.l \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/4\Z$ $1.068769837$ $[0, -1, 0, 15360, 1115100]$ \(y^2=x^3-x^2+15360x+1115100\) 2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 1288.24.0.?, 6440.48.0.?
19320.m1 19320.m \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.912869721$ $[0, -1, 0, -133280, 18770412]$ \(y^2=x^3-x^2-133280x+18770412\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$
19320.m2 19320.m \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.912869721$ $[0, -1, 0, -54160, -4646900]$ \(y^2=x^3-x^2-54160x-4646900\) 2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 184.24.0.?, 2760.48.0.?
19320.m3 19320.m \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.956434860$ $[0, -1, 0, -9080, 239772]$ \(y^2=x^3-x^2-9080x+239772\) 2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.1, 184.24.0.?, 2760.48.0.?
19320.m4 19320.m \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/4\Z$ $3.912869721$ $[0, -1, 0, 1500, 23940]$ \(y^2=x^3-x^2+1500x+23940\) 2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 184.24.0.?, $\ldots$
19320.n1 19320.n \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $2.320179769$ $[0, -1, 0, -8160, -272580]$ \(y^2=x^3-x^2-8160x-272580\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$
19320.n2 19320.n \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.160089884$ $[0, -1, 0, -1260, 11700]$ \(y^2=x^3-x^2-1260x+11700\) 2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 276.24.0.?, 1380.48.0.?
19320.n3 19320.n \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/4\Z$ $2.320179769$ $[0, -1, 0, -1135, 15100]$ \(y^2=x^3-x^2-1135x+15100\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 138.6.0.?, 276.24.0.?, $\ldots$
19320.n4 19320.n \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $2.320179769$ $[0, -1, 0, 3640, 76380]$ \(y^2=x^3-x^2+3640x+76380\) 2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 552.24.0.?, 2760.48.0.?
19320.o1 19320.o \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $1.073326823$ $[0, 1, 0, -476, 3840]$ \(y^2=x^3+x^2-476x+3840\) 2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?
19320.o2 19320.o \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $0.536663411$ $[0, 1, 0, -376, 5600]$ \(y^2=x^3+x^2-376x+5600\) 2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?
19320.p1 19320.p \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $4.681232222$ $[0, 1, 0, -3168796, -2172205120]$ \(y^2=x^3+x^2-3168796x-2172205120\) 2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?
19320.p2 19320.p \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $2.340616111$ $[0, 1, 0, -3166296, -2175801120]$ \(y^2=x^3+x^2-3166296x-2175801120\) 2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?
19320.q1 19320.q \( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -96, -336]$ \(y^2=x^3+x^2-96x-336\) 2.3.0.a.1, 56.6.0.c.1, 690.6.0.?, 19320.12.0.?
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