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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
1050.a1 1050.a \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $5.488707349$ $[1, 1, 0, -161275, 15616375]$ \(y^2+xy=x^3+x^2-161275x+15616375\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$
1050.a2 1050.a \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.829569116$ $[1, 1, 0, -144025, 20978125]$ \(y^2+xy=x^3+x^2-144025x+20978125\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$
1050.a3 1050.a \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.744353674$ $[1, 1, 0, -67525, -6602375]$ \(y^2+xy=x^3+x^2-67525x-6602375\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 15.8.0-3.a.1.1, $\ldots$
1050.a4 1050.a \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $5.488707349$ $[1, 1, 0, -67025, -6706875]$ \(y^2+xy=x^3+x^2-67025x-6706875\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$
1050.a5 1050.a \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.914784558$ $[1, 1, 0, -9025, 323125]$ \(y^2+xy=x^3+x^2-9025x+323125\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 15.8.0-3.a.1.2, $\ldots$
1050.a6 1050.a \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.829569116$ $[1, 1, 0, -2025, 820125]$ \(y^2+xy=x^3+x^2-2025x+820125\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$
1050.a7 1050.a \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.829569116$ $[1, 1, 0, -1025, -4875]$ \(y^2+xy=x^3+x^2-1025x-4875\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$
1050.a8 1050.a \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $5.488707349$ $[1, 1, 0, 18225, -22123125]$ \(y^2+xy=x^3+x^2+18225x-22123125\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$
1050.b1 1050.b \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -4375, -113225]$ \(y^2+xy=x^3+x^2-4375x-113225\) 5.24.0-5.a.2.1, 168.2.0.?, 840.48.1.?
1050.b2 1050.b \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 550, -343500]$ \(y^2+xy=x^3+x^2+550x-343500\) 5.24.0-5.a.1.1, 168.2.0.?, 840.48.1.?
1050.c1 1050.c \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -48020000, -128100018750]$ \(y^2+xy=x^3+x^2-48020000x-128100018750\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.v.2, 20.12.0-4.c.1.1, $\ldots$
1050.c2 1050.c \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -3001250, -2002500000]$ \(y^2+xy=x^3+x^2-3001250x-2002500000\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.1, 16.96.0-8.l.1.5, 20.24.0-4.b.1.1, $\ldots$
1050.c3 1050.c \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -2982500, -2028731250]$ \(y^2+xy=x^3+x^2-2982500x-2028731250\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.96.0-16.v.2.8, 20.12.0-4.c.1.1, $\ldots$
1050.c4 1050.c \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -376750, 88826500]$ \(y^2+xy=x^3+x^2-376750x+88826500\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.96.0-16.v.1.4, 20.12.0-4.c.1.2, $\ldots$
1050.c5 1050.c \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -188750, -30937500]$ \(y^2+xy=x^3+x^2-188750x-30937500\) 2.6.0.a.1, 4.24.0.b.1, 8.48.0.c.1, 16.96.0-8.c.1.4, 20.48.0-4.b.1.1, $\ldots$
1050.c6 1050.c \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -26750, 976500]$ \(y^2+xy=x^3+x^2-26750x+976500\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 16.96.0-8.l.2.4, 20.24.0-4.b.1.3, $\ldots$
1050.c7 1050.c \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 5250, 112500]$ \(y^2+xy=x^3+x^2+5250x+112500\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.v.1, $\ldots$
1050.c8 1050.c \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 31750, -98631000]$ \(y^2+xy=x^3+x^2+31750x-98631000\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0.j.1, 20.24.0-4.d.1.1, $\ldots$
1050.d1 1050.d \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.315220447$ $[1, 1, 0, -80, 0]$ \(y^2+xy=x^3+x^2-80x\) 2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?
1050.d2 1050.d \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.157610223$ $[1, 1, 0, 320, 400]$ \(y^2+xy=x^3+x^2+320x+400\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
1050.e1 1050.e \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -30, -90]$ \(y^2+xy=x^3+x^2-30x-90\) 168.2.0.?
1050.f1 1050.f \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -6296, -192922]$ \(y^2+xy+y=x^3-6296x-192922\) 168.2.0.?
1050.g1 1050.g \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.168758936$ $[1, 0, 1, -171, 838]$ \(y^2+xy+y=x^3-171x+838\) 2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?
1050.g2 1050.g \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.084379468$ $[1, 0, 1, -71, 1838]$ \(y^2+xy+y=x^3-71x+1838\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
1050.h1 1050.h \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -420001, -104801602]$ \(y^2+xy+y=x^3-420001x-104801602\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 20.12.0-4.c.1.1, $\ldots$
1050.h2 1050.h \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -26251, -1639102]$ \(y^2+xy+y=x^3-26251x-1639102\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.1, 24.48.0-8.e.2.8, $\ldots$
1050.h3 1050.h \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -24501, -1866602]$ \(y^2+xy+y=x^3-24501x-1866602\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.1, 40.48.0-8.bb.1.8, $\ldots$
1050.h4 1050.h \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -9251, 322898]$ \(y^2+xy+y=x^3-9251x+322898\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, $\ldots$
1050.h5 1050.h \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -1751, -22102]$ \(y^2+xy+y=x^3-1751x-22102\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.2, 20.24.0-4.b.1.3, $\ldots$
1050.h6 1050.h \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 249, -2102]$ \(y^2+xy+y=x^3+249x-2102\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$
1050.i1 1050.i \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.697547317$ $[1, 0, 1, -33601, 2367848]$ \(y^2+xy+y=x^3-33601x+2367848\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 20.12.0-4.c.1.2, $\ldots$
1050.i2 1050.i \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.348773658$ $[1, 0, 1, -22851, -1318652]$ \(y^2+xy+y=x^3-22851x-1318652\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 20.12.0-4.c.1.1, 40.96.0-8.p.1.4, $\ldots$
1050.i3 1050.i \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.174386829$ $[1, 0, 1, -2601, 17848]$ \(y^2+xy+y=x^3-2601x+17848\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 20.24.0-4.b.1.1, 40.96.0-8.f.1.1, $\ldots$
1050.i4 1050.i \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.348773658$ $[1, 0, 1, -2101, 36848]$ \(y^2+xy+y=x^3-2101x+36848\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 20.24.0-4.b.1.3, 28.24.0.c.1, $\ldots$
1050.i5 1050.i \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.697547317$ $[1, 0, 1, -101, 848]$ \(y^2+xy+y=x^3-101x+848\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$
1050.i6 1050.i \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.348773658$ $[1, 0, 1, 9649, 140348]$ \(y^2+xy+y=x^3+9649x+140348\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 20.12.0-4.c.1.1, $\ldots$
1050.j1 1050.j \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -351, -2702]$ \(y^2+xy+y=x^3-351x-2702\) 3.8.0-3.a.1.1, 168.16.0.?
1050.j2 1050.j \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, 24, -2]$ \(y^2+xy+y=x^3+24x-2\) 3.8.0-3.a.1.2, 168.16.0.?
1050.k1 1050.k \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -8780813, -10018641469]$ \(y^2+xy+y=x^3+x^2-8780813x-10018641469\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$
1050.k2 1050.k \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -548813, -156705469]$ \(y^2+xy+y=x^3+x^2-548813x-156705469\) 2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.12, $\ldots$
1050.k3 1050.k \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -508813, -180465469]$ \(y^2+xy+y=x^3+x^2-508813x-180465469\) 2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.2.5, $\ldots$
1050.k4 1050.k \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -108938, -13641469]$ \(y^2+xy+y=x^3+x^2-108938x-13641469\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$
1050.k5 1050.k \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/4\Z$ $1$ $[1, 1, 1, -36813, -2081469]$ \(y^2+xy+y=x^3+x^2-36813x-2081469\) 2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$
1050.k6 1050.k \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -14438, 344531]$ \(y^2+xy+y=x^3+x^2-14438x+344531\) 2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.14, $\ldots$
1050.k7 1050.k \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/4\Z$ $1$ $[1, 1, 1, -12438, 528531]$ \(y^2+xy+y=x^3+x^2-12438x+528531\) 2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$
1050.k8 1050.k \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 48062, 2594531]$ \(y^2+xy+y=x^3+x^2+48062x+2594531\) 2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.1.5, $\ldots$
1050.l1 1050.l \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -8763, -337719]$ \(y^2+xy+y=x^3+x^2-8763x-337719\) 3.4.0.a.1, 15.8.0-3.a.1.1, 168.8.0.?, 840.16.0.?
1050.l2 1050.l \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 612, -219]$ \(y^2+xy+y=x^3+x^2+612x-219\) 3.4.0.a.1, 15.8.0-3.a.1.2, 168.8.0.?, 840.16.0.?
1050.m1 1050.m \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -4263, 104781]$ \(y^2+xy+y=x^3+x^2-4263x+104781\) 2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?
1050.m2 1050.m \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -1763, 229781]$ \(y^2+xy+y=x^3+x^2-1763x+229781\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
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