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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
22050.a1 22050.a \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $4.292548416$ $[1, -1, 0, -11780442, -8872398284]$ \(y^2+xy=x^3-x^2-11780442x-8872398284\) 2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
22050.a2 22050.a \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $8.585096833$ $[1, -1, 0, 37611558, -63944478284]$ \(y^2+xy=x^3-x^2+37611558x-63944478284\) 2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
22050.b1 22050.b \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/3\Z$ $11.54464081$ $[1, -1, 0, -1582368867, 24227957283291]$ \(y^2+xy=x^3-x^2-1582368867x+24227957283291\) 3.8.0-3.a.1.2, 8.2.0.b.1, 24.16.0-24.b.1.8
22050.b2 22050.b \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.848213605$ $[1, -1, 0, -19575117, 33097004541]$ \(y^2+xy=x^3-x^2-19575117x+33097004541\) 3.8.0-3.a.1.1, 8.2.0.b.1, 24.16.0-24.b.1.4
22050.c1 22050.c \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -266667, 13921991]$ \(y^2+xy=x^3-x^2-266667x+13921991\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$
22050.c2 22050.c \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -156417, -23771259]$ \(y^2+xy=x^3-x^2-156417x-23771259\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$
22050.c3 22050.c \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -9417, -398259]$ \(y^2+xy=x^3-x^2-9417x-398259\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$
22050.c4 22050.c \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 64083, 1684241]$ \(y^2+xy=x^3-x^2+64083x+1684241\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$
22050.d1 22050.d \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $7.380328379$ $[1, -1, 0, -3864492, -3092833584]$ \(y^2+xy=x^3-x^2-3864492x-3092833584\) 3.4.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, 840.16.0.?
22050.d2 22050.d \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.460109459$ $[1, -1, 0, 269883, -4455459]$ \(y^2+xy=x^3-x^2+269883x-4455459\) 3.4.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, 840.16.0.?
22050.e1 22050.e \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.729996052$ $[1, -1, 0, -7947, 274511]$ \(y^2+xy=x^3-x^2-7947x+274511\) 2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
22050.e2 22050.e \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.364998026$ $[1, -1, 0, -597, 2561]$ \(y^2+xy=x^3-x^2-597x+2561\) 2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
22050.f1 22050.f \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -32293242, -70626217334]$ \(y^2+xy=x^3-x^2-32293242x-70626217334\) 3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.1, 24.8.0.b.1, 168.16.0.?
22050.f2 22050.f \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -399492, -96378584]$ \(y^2+xy=x^3-x^2-399492x-96378584\) 3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.2, 24.8.0.b.1, 168.16.0.?
22050.g1 22050.g \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.790057142$ $[1, -1, 0, -240417, 25935741]$ \(y^2+xy=x^3-x^2-240417x+25935741\) 2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
22050.g2 22050.g \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.580114285$ $[1, -1, 0, 767583, 186207741]$ \(y^2+xy=x^3-x^2+767583x+186207741\) 2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
22050.h1 22050.h \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.234581333$ $[1, -1, 0, 49383, 12106541]$ \(y^2+xy=x^3-x^2+49383x+12106541\) 168.2.0.?
22050.i1 22050.i \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -358542, -185734634]$ \(y^2+xy=x^3-x^2-358542x-185734634\) 3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.7, 40.2.0.a.1, 120.16.0.?
22050.i2 22050.i \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 3114333, 4110211741]$ \(y^2+xy=x^3-x^2+3114333x+4110211741\) 3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.8, 40.2.0.a.1, 120.16.0.?
22050.j1 22050.j \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $10.71459098$ $[1, -1, 0, -75269742, -251331415084]$ \(y^2+xy=x^3-x^2-75269742x-251331415084\) 13.14.0.a.1, 40.2.0.a.1, 65.28.0.a.2, 91.42.0.?, 104.28.0.?, $\ldots$
22050.j2 22050.j \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.824199306$ $[1, -1, 0, -24117, 6336791]$ \(y^2+xy=x^3-x^2-24117x+6336791\) 13.14.0.a.1, 40.2.0.a.1, 65.28.0.a.1, 91.42.0.?, 104.28.0.?, $\ldots$
22050.k1 22050.k \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $18.41987904$ $[1, -1, 0, -7844517, -8497850859]$ \(y^2+xy=x^3-x^2-7844517x-8497850859\) 3.4.0.a.1, 24.8.0.d.1, 105.8.0.?, 840.16.0.?
22050.k2 22050.k \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $6.139959683$ $[1, -1, 0, 258858, -62237484]$ \(y^2+xy=x^3-x^2+258858x-62237484\) 3.4.0.a.1, 24.8.0.d.1, 105.8.0.?, 840.16.0.?
22050.l1 22050.l \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $22.70060879$ $[1, -1, 0, -1027392, -400606984]$ \(y^2+xy=x^3-x^2-1027392x-400606984\) 3.4.0.a.1, 9.12.0.b.1, 15.8.0-3.a.1.1, 24.8.0.d.1, 45.24.0-9.b.1.2, $\ldots$
22050.l2 22050.l \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $7.566869598$ $[1, -1, 0, 1608, -1697984]$ \(y^2+xy=x^3-x^2+1608x-1697984\) 3.4.0.a.1, 9.12.0.b.1, 15.8.0-3.a.1.2, 24.8.0.d.1, 45.24.0-9.b.1.1, $\ldots$
22050.m1 22050.m \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -501867, -192162209]$ \(y^2+xy=x^3-x^2-501867x-192162209\) 3.4.0.a.1, 8.2.0.a.1, 21.8.0-3.a.1.1, 24.8.0.a.1, 168.16.0.?
22050.m2 22050.m \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 49383, 3531541]$ \(y^2+xy=x^3-x^2+49383x+3531541\) 3.4.0.a.1, 8.2.0.a.1, 21.8.0-3.a.1.2, 24.8.0.a.1, 168.16.0.?
22050.n1 22050.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $5.662755488$ $[1, -1, 0, -35667, -4493259]$ \(y^2+xy=x^3-x^2-35667x-4493259\) 3.4.0.a.1, 40.2.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$
22050.n2 22050.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.887585162$ $[1, -1, 0, 3708, 113616]$ \(y^2+xy=x^3-x^2+3708x+113616\) 3.4.0.a.1, 40.2.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$
22050.o1 22050.o \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -1747692, 1544683216]$ \(y^2+xy=x^3-x^2-1747692x+1544683216\) 3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.8, 40.2.0.a.1, 120.16.0.?
22050.o2 22050.o \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 181683, -39333659]$ \(y^2+xy=x^3-x^2+181683x-39333659\) 3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.7, 40.2.0.a.1, 120.16.0.?
22050.p1 22050.p \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -20967, 1173941]$ \(y^2+xy=x^3-x^2-20967x+1173941\) 3.4.0.a.1, 9.12.0.b.1, 24.8.0.d.1, 63.36.0.i.2, 72.24.0.?, $\ldots$
22050.p2 22050.p \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 33, 4941]$ \(y^2+xy=x^3-x^2+33x+4941\) 3.4.0.a.1, 9.12.0.b.1, 24.8.0.d.1, 63.36.0.i.1, 72.24.0.?, $\ldots$
22050.q1 22050.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -160092, 24820816]$ \(y^2+xy=x^3-x^2-160092x+24820816\) 3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0.d.1, 120.16.0.?
22050.q2 22050.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 5283, 179941]$ \(y^2+xy=x^3-x^2+5283x+179941\) 3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0.d.1, 120.16.0.?
22050.r1 22050.r \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -1536117, 733183541]$ \(y^2+xy=x^3-x^2-1536117x+733183541\) 13.14.0.a.1, 40.2.0.a.1, 65.28.0.a.2, 91.42.0.?, 104.28.0.?, $\ldots$
22050.r2 22050.r \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -492, -18334]$ \(y^2+xy=x^3-x^2-492x-18334\) 13.14.0.a.1, 40.2.0.a.1, 65.28.0.a.1, 91.42.0.?, 104.28.0.?, $\ldots$
22050.s1 22050.s \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.858699220$ $[1, -1, 0, -7317, 543591]$ \(y^2+xy=x^3-x^2-7317x+543591\) 3.4.0.a.1, 40.2.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$
22050.s2 22050.s \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.576097660$ $[1, -1, 0, 63558, -12001284]$ \(y^2+xy=x^3-x^2+63558x-12001284\) 3.4.0.a.1, 40.2.0.a.1, 105.8.0.?, 120.8.0.?, 168.8.0.?, $\ldots$
22050.t1 22050.t \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -887742, 38976916]$ \(y^2+xy=x^3-x^2-887742x+38976916\) 2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?
22050.t2 22050.t \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 3522258, 307986916]$ \(y^2+xy=x^3-x^2+3522258x+307986916\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
22050.u1 22050.u \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.908931800$ $[1, -1, 0, 361758, 56886416]$ \(y^2+xy=x^3-x^2+361758x+56886416\) 6.2.0.a.1
22050.v1 22050.v \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -336492, -89464334]$ \(y^2+xy=x^3-x^2-336492x-89464334\) 168.2.0.?
22050.w1 22050.w \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $16.54884639$ $[1, -1, 0, -48240117, -128949609209]$ \(y^2+xy=x^3-x^2-48240117x-128949609209\) 5.12.0.a.2, 40.24.0-5.a.2.5, 105.24.0.?, 168.2.0.?, 840.48.1.?
22050.w2 22050.w \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.309769278$ $[1, -1, 0, 9693, -25468619]$ \(y^2+xy=x^3-x^2+9693x-25468619\) 5.12.0.a.1, 40.24.0-5.a.1.5, 105.24.0.?, 168.2.0.?, 840.48.1.?
22050.x1 22050.x \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 7383, -167959]$ \(y^2+xy=x^3-x^2+7383x-167959\) 6.2.0.a.1
22050.y1 22050.y \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -365157, 84746101]$ \(y^2+xy=x^3-x^2-365157x+84746101\) 2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 40.72.1.bf.1, $\ldots$
22050.y2 22050.y \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -23382, -1370174]$ \(y^2+xy=x^3-x^2-23382x-1370174\) 2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 40.72.1.bf.2, $\ldots$
22050.y3 22050.y \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -12357, 2543701]$ \(y^2+xy=x^3-x^2-12357x+2543701\) 2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 30.72.1.i.1, $\ldots$
22050.y4 22050.y \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1332, -25124]$ \(y^2+xy=x^3-x^2-1332x-25124\) 2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 30.72.1.i.2, $\ldots$
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