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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
6720.a1 6720.a \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $2$ $\Z/2\Z$ $4.237719972$ $[0, -1, 0, -4481, 116961]$ \(y^2=x^3-x^2-4481x+116961\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.bb.1.9, $\ldots$
6720.a2 6720.a \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $1.059429993$ $[0, -1, 0, -281, 1881]$ \(y^2=x^3-x^2-281x+1881\) 2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 60.12.0.a.1, $\ldots$
6720.a3 6720.a \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $2$ $\Z/2\Z$ $4.237719972$ $[0, -1, 0, -36, -30]$ \(y^2=x^3-x^2-36x-30\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.bb.1.6, 60.12.0.h.1, $\ldots$
6720.a4 6720.a \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $2$ $\Z/2\Z$ $1.059429993$ $[0, -1, 0, -1, 5185]$ \(y^2=x^3-x^2-x+5185\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$
6720.b1 6720.b \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $1.955123972$ $[0, -1, 0, -26881, 1705345]$ \(y^2=x^3-x^2-26881x+1705345\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 48.48.0-48.h.1.27, 80.48.0.?, $\ldots$
6720.b2 6720.b \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $3.910247944$ $[0, -1, 0, -25921, -1592255]$ \(y^2=x^3-x^2-25921x-1592255\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 12.12.0-4.c.1.2, 24.48.0-24.bj.1.1, $\ldots$
6720.b3 6720.b \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.955123972$ $[0, -1, 0, -2401, 2401]$ \(y^2=x^3-x^2-2401x+2401\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 12.24.0-4.b.1.2, 24.48.0-24.e.1.9, $\ldots$
6720.b4 6720.b \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.977561986$ $[0, -1, 0, -1681, 27025]$ \(y^2=x^3-x^2-1681x+27025\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.l.1.5, 40.48.0-40.h.2.11, $\ldots$
6720.b5 6720.b \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $1.955123972$ $[0, -1, 0, -61, 781]$ \(y^2=x^3-x^2-61x+781\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 40.48.0-40.ca.1.9, 48.48.0-48.h.1.27, $\ldots$
6720.b6 6720.b \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $3.910247944$ $[0, -1, 0, 9599, 9601]$ \(y^2=x^3-x^2+9599x+9601\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 12.12.0-4.c.1.1, 24.48.0-24.bn.1.1, $\ldots$
6720.c1 6720.c \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -408240001, -3174701034815]$ \(y^2=x^3-x^2-408240001x-3174701034815\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$
6720.c2 6720.c \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -25515001, -49598319815]$ \(y^2=x^3-x^2-25515001x-49598319815\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 28.12.0.a.1, $\ldots$
6720.c3 6720.c \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -25427521, -49955395679]$ \(y^2=x^3-x^2-25427521x-49955395679\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$
6720.c4 6720.c \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1600156, -768989294]$ \(y^2=x^3-x^2-1600156x-768989294\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 28.12.0.h.1, $\ldots$
6720.d1 6720.d \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2261, -40635]$ \(y^2=x^3-x^2-2261x-40635\) 2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.?
6720.d2 6720.d \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2161, -44495]$ \(y^2=x^3-x^2-2161x-44495\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
6720.e1 6720.e \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $1.126425553$ $[0, -1, 0, -21, 21]$ \(y^2=x^3-x^2-21x+21\) 2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.?
6720.e2 6720.e \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $0.563212776$ $[0, -1, 0, 79, 81]$ \(y^2=x^3-x^2+79x+81\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
6720.f1 6720.f \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -841, 8041]$ \(y^2=x^3-x^2-841x+8041\) 2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.?
6720.f2 6720.f \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 104, 670]$ \(y^2=x^3-x^2+104x+670\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
6720.g1 6720.g \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $4.828119405$ $[0, -1, 0, -56481, -5147775]$ \(y^2=x^3-x^2-56481x-5147775\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$
6720.g2 6720.g \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $4.828119405$ $[0, -1, 0, -8961, 221121]$ \(y^2=x^3-x^2-8961x+221121\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$
6720.g3 6720.g \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.414059702$ $[0, -1, 0, -3561, -78039]$ \(y^2=x^3-x^2-3561x-78039\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 24.24.0-24.b.1.3, $\ldots$
6720.g4 6720.g \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $4.828119405$ $[0, -1, 0, 84, -4410]$ \(y^2=x^3-x^2+84x-4410\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 24.24.0-24.y.1.16, $\ldots$
6720.h1 6720.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -97601, 11765985]$ \(y^2=x^3-x^2-97601x+11765985\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 28.12.0-4.c.1.1, 56.96.0-56.bj.1.2, $\ldots$
6720.h2 6720.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -6881, 135681]$ \(y^2=x^3-x^2-6881x+135681\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.3, 28.24.0-4.b.1.2, 40.96.0-40.w.2.6, $\ldots$
6720.h3 6720.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -2961, -59535]$ \(y^2=x^3-x^2-2961x-59535\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.11, 20.24.0.c.1, 40.96.0-40.k.2.5, $\ldots$
6720.h4 6720.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2941, -60419]$ \(y^2=x^3-x^2-2941x-60419\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 10.6.0.a.1, 16.48.0-16.e.2.8, $\ldots$
6720.h5 6720.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 639, -198495]$ \(y^2=x^3-x^2+639x-198495\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 20.12.0.h.1, 40.96.0-40.bn.1.3, $\ldots$
6720.h6 6720.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 21119, 936481]$ \(y^2=x^3-x^2+21119x+936481\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.1.14, 28.12.0-4.c.1.2, $\ldots$
6720.i1 6720.i \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $0.542099284$ $[0, -1, 0, -2721, 55521]$ \(y^2=x^3-x^2-2721x+55521\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 40.24.0-40.ba.1.11, $\ldots$
6720.i2 6720.i \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $2.168397137$ $[0, -1, 0, -1601, -23775]$ \(y^2=x^3-x^2-1601x-23775\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.24.0-40.ba.1.9, $\ldots$
6720.i3 6720.i \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.084198568$ $[0, -1, 0, -201, 585]$ \(y^2=x^3-x^2-201x+585\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 40.24.0-20.a.1.1, $\ldots$
6720.i4 6720.i \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $2.168397137$ $[0, -1, 0, 44, 46]$ \(y^2=x^3-x^2+44x+46\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$
6720.j1 6720.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $36.14462472$ $[0, -1, 0, -122931201, -524574745599]$ \(y^2=x^3-x^2-122931201x-524574745599\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 12.12.0-4.c.1.2, 16.96.0-16.v.2.4, $\ldots$
6720.j2 6720.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $18.07231236$ $[0, -1, 0, -7683201, -8194556799]$ \(y^2=x^3-x^2-7683201x-8194556799\) 2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.l.1.6, 12.24.0-4.b.1.2, 24.192.1-24.ch.1.7, $\ldots$
6720.j3 6720.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $36.14462472$ $[0, -1, 0, -7635201, -8302047999]$ \(y^2=x^3-x^2-7635201x-8302047999\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 12.12.0-4.c.1.1, 16.96.0-16.v.2.4, $\ldots$
6720.j4 6720.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $2.259039045$ $[0, -1, 0, -964481, 364797825]$ \(y^2=x^3-x^2-964481x+364797825\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 16.96.0-16.v.1.11, 28.12.0.h.1, $\ldots$
6720.j5 6720.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $9.036156180$ $[0, -1, 0, -483201, -126236799]$ \(y^2=x^3-x^2-483201x-126236799\) 2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.c.1.9, 24.192.1-24.w.2.8, 56.192.1-56.x.1.4, $\ldots$
6720.j6 6720.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.518078090$ $[0, -1, 0, -68481, 4068225]$ \(y^2=x^3-x^2-68481x+4068225\) 2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.l.2.3, 28.24.0.c.1, 48.192.1-48.f.2.6, $\ldots$
6720.j7 6720.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $2.259039045$ $[0, -1, 0, 13439, 447361]$ \(y^2=x^3-x^2+13439x+447361\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 14.6.0.b.1, 16.96.0-16.v.1.11, $\ldots$
6720.j8 6720.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $4.518078090$ $[0, -1, 0, 81279, -404073855]$ \(y^2=x^3-x^2+81279x-404073855\) 2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.q.1.5, 16.96.0-16.j.1.10, 24.96.0-24.be.1.4, $\ldots$
6720.k1 6720.k \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1075201, 429482401]$ \(y^2=x^3-x^2-1075201x+429482401\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.1.14, 28.12.0-4.c.1.1, $\ldots$
6720.k2 6720.k \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -67201, 6727201]$ \(y^2=x^3-x^2-67201x+6727201\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.3, 28.24.0-4.b.1.2, 56.96.0-56.n.1.4, $\ldots$
6720.k3 6720.k \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -62721, 7658145]$ \(y^2=x^3-x^2-62721x+7658145\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 28.12.0-4.c.1.2, 56.96.0-56.bn.1.2, $\ldots$
6720.k4 6720.k \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -23681, -1317855]$ \(y^2=x^3-x^2-23681x-1317855\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 60.12.0.h.1, 112.96.0.?, $\ldots$
6720.k5 6720.k \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -4481, 91425]$ \(y^2=x^3-x^2-4481x+91425\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.11, 56.96.0-56.r.1.7, 60.24.0.c.1, $\ldots$
6720.k6 6720.k \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 639, 8481]$ \(y^2=x^3-x^2+639x+8481\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.e.2.8, 30.6.0.a.1, $\ldots$
6720.l1 6720.l \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -5481, 158025]$ \(y^2=x^3-x^2-5481x+158025\) 2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.?
6720.l2 6720.l \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -336, 2646]$ \(y^2=x^3-x^2-336x+2646\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
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