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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
50430.a1 50430.a \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $5.219494819$ $[1, 1, 0, -588, -5808]$ \(y^2+xy=x^3+x^2-588x-5808\) 3.4.0.a.1, 120.8.0.?, 123.8.0.?, 4920.16.0.?
50430.a2 50430.a \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $1.739831606$ $[1, 1, 0, 27, -27]$ \(y^2+xy=x^3+x^2+27x-27\) 3.4.0.a.1, 120.8.0.?, 123.8.0.?, 4920.16.0.?
50430.b1 50430.b \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $2.681708307$ $[1, 1, 0, -99808, -12145088]$ \(y^2+xy=x^3+x^2-99808x-12145088\) 12.2.0.a.1
50430.c1 50430.c \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $10.79675327$ $[1, 1, 0, -8822763, 10083162117]$ \(y^2+xy=x^3+x^2-8822763x+10083162117\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$
50430.c2 50430.c \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $2.699188319$ $[1, 1, 0, -888443, -57140907]$ \(y^2+xy=x^3+x^2-888443x-57140907\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 120.24.0.?, $\ldots$
50430.c3 50430.c \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.398376638$ $[1, 1, 0, -552243, 156884013]$ \(y^2+xy=x^3+x^2-552243x+156884013\) 2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 328.12.0.?, $\ldots$
50430.c4 50430.c \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $10.79675327$ $[1, 1, 0, -14323, 5298157]$ \(y^2+xy=x^3+x^2-14323x+5298157\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$
50430.d1 50430.d \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $14.84805591$ $[1, 1, 0, -1838208, -27481817088]$ \(y^2+xy=x^3+x^2-1838208x-27481817088\) 3.4.0.a.1, 120.8.0.?, 123.8.0.?, 4920.16.0.?
50430.d2 50430.d \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $4.949351971$ $[1, 1, 0, 204207, 1016816373]$ \(y^2+xy=x^3+x^2+204207x+1016816373\) 3.4.0.a.1, 120.8.0.?, 123.8.0.?, 4920.16.0.?
50430.e1 50430.e \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $115.3735327$ $[1, 1, 0, -437948443, -3527808962093]$ \(y^2+xy=x^3+x^2-437948443x-3527808962093\) 5.6.0.a.1, 120.12.0.?, 205.24.0.?, 4920.48.1.?
50430.e2 50430.e \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $23.07470654$ $[1, 1, 0, -300093, -481116003]$ \(y^2+xy=x^3+x^2-300093x-481116003\) 5.6.0.a.1, 120.12.0.?, 205.24.0.?, 4920.48.1.?
50430.f1 50430.f \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $5.703772592$ $[1, 1, 0, -8965648, -10336598792]$ \(y^2+xy=x^3+x^2-8965648x-10336598792\) 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, $\ldots$
50430.f2 50430.f \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $22.81509037$ $[1, 1, 0, -762368, -35188728]$ \(y^2+xy=x^3+x^2-762368x-35188728\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$
50430.f3 50430.f \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $11.40754518$ $[1, 1, 0, -560648, -161505792]$ \(y^2+xy=x^3+x^2-560648x-161505792\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$
50430.f4 50430.f \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $7.605030123$ $[1, 1, 0, -485003, 129803103]$ \(y^2+xy=x^3+x^2-485003x+129803103\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$
50430.f5 50430.f \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $1.901257530$ $[1, 1, 0, -115183, -13007933]$ \(y^2+xy=x^3+x^2-115183x-13007933\) 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, $\ldots$
50430.f6 50430.f \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.802515061$ $[1, 1, 0, -31133, 1902537]$ \(y^2+xy=x^3+x^2-31133x+1902537\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$
50430.f7 50430.f \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $22.81509037$ $[1, 1, 0, -22728, -4325568]$ \(y^2+xy=x^3+x^2-22728x-4325568\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$
50430.f8 50430.f \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $7.605030123$ $[1, 1, 0, 2487, 147573]$ \(y^2+xy=x^3+x^2+2487x+147573\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$
50430.g1 50430.g \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $21.66094694$ $[1, 1, 0, -137108278, 6654619732]$ \(y^2+xy=x^3+x^2-137108278x+6654619732\) 3.4.0.a.1, 12.8.0.b.1, 123.8.0.?, 492.16.0.?
50430.g2 50430.g \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $7.220315647$ $[1, 1, 0, -94721863, 354791200693]$ \(y^2+xy=x^3+x^2-94721863x+354791200693\) 3.4.0.a.1, 12.8.0.b.1, 123.8.0.?, 492.16.0.?
50430.h1 50430.h \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -88287, -3301839]$ \(y^2+xy=x^3+x^2-88287x-3301839\) 2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.?
50430.h2 50430.h \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 331963, -25238889]$ \(y^2+xy=x^3+x^2+331963x-25238889\) 2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.?
50430.i1 50430.i \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $10.67466718$ $[1, 1, 0, -33921424347, 2404910084618781]$ \(y^2+xy=x^3+x^2-33921424347x+2404910084618781\) 120.2.0.?
50430.j1 50430.j \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $2.625288422$ $[1, 0, 1, -81564, 90586]$ \(y^2+xy+y=x^3-81564x+90586\) 3.8.0-3.a.1.1, 12.16.0-12.b.1.2
50430.j2 50430.j \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/3\Z$ $0.875096140$ $[1, 0, 1, -56349, 5143672]$ \(y^2+xy+y=x^3-56349x+5143672\) 3.8.0-3.a.1.2, 12.16.0-12.b.1.4
50430.k1 50430.k \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -260529, -51205334]$ \(y^2+xy+y=x^3-260529x-51205334\) 5.6.0.a.1, 120.12.0.?, 205.24.0.?, 4920.48.1.?
50430.k2 50430.k \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -179, -6994]$ \(y^2+xy+y=x^3-179x-6994\) 5.6.0.a.1, 120.12.0.?, 205.24.0.?, 4920.48.1.?
50430.l1 50430.l \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $1.873360824$ $[1, 0, 1, -167778124, -834199386934]$ \(y^2+xy+y=x^3-167778124x-834199386934\) 12.2.0.a.1
50430.m1 50430.m \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $79.98197068$ $[1, 0, 1, -989304, -383479994]$ \(y^2+xy+y=x^3-989304x-383479994\) 3.8.0-3.a.1.1, 120.16.0.?
50430.m2 50430.m \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/3\Z$ $26.66065689$ $[1, 0, 1, 44511, -2622548]$ \(y^2+xy+y=x^3+44511x-2622548\) 3.8.0-3.a.1.2, 120.16.0.?
50430.n1 50430.n \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $0.404764039$ $[1, 0, 1, -20179313, 34892243588]$ \(y^2+xy+y=x^3-20179313x+34892243588\) 120.2.0.?
50430.o1 50430.o \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $1.233984558$ $[1, 0, 1, -2357638, 1382242406]$ \(y^2+xy+y=x^3-2357638x+1382242406\) 2.3.0.a.1, 40.6.0.b.1, 164.6.0.?, 1640.12.0.?
50430.o2 50430.o \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $0.616992279$ $[1, 0, 1, -256388, -14668594]$ \(y^2+xy+y=x^3-256388x-14668594\) 2.3.0.a.1, 40.6.0.c.1, 82.6.0.?, 1640.12.0.?
50430.p1 50430.p \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -35336, -2581951]$ \(y^2+xy+y=x^3+x^2-35336x-2581951\) 4920.2.0.?
50430.q1 50430.q \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -8398311, 8923998729]$ \(y^2+xy+y=x^3+x^2-8398311x+8923998729\) 2.3.0.a.1, 20.6.0.d.1, 164.6.0.?, 410.6.0.?, 820.12.0.?
50430.q2 50430.q \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -1506211, -534719311]$ \(y^2+xy+y=x^3+x^2-1506211x-534719311\) 2.3.0.a.1, 20.6.0.d.1, 82.6.0.?, 820.12.0.?
50430.r1 50430.r \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -1401880071, 20202310100979]$ \(y^2+xy+y=x^3+x^2-1401880071x+20202310100979\) 2.3.0.a.1, 40.6.0.b.1, 164.6.0.?, 1640.12.0.?
50430.r2 50430.r \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -88598821, 308200413479]$ \(y^2+xy+y=x^3+x^2-88598821x+308200413479\) 2.3.0.a.1, 40.6.0.c.1, 82.6.0.?, 1640.12.0.?
50430.s1 50430.s \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $8.750842513$ $[1, 1, 1, -3229236, 17512933749]$ \(y^2+xy+y=x^3+x^2-3229236x+17512933749\) 120.2.0.?
50430.t1 50430.t \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -21442871, -38205021571]$ \(y^2+xy+y=x^3+x^2-21442871x-38205021571\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 20.6.0.b.1, 60.48.0-60.p.1.2, $\ldots$
50430.t2 50430.t \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -17240371, -53621472571]$ \(y^2+xy+y=x^3+x^2-17240371x-53621472571\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 20.6.0.a.1, $\ldots$
50430.t3 50430.t \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -867431, 250717853]$ \(y^2+xy+y=x^3+x^2-867431x+250717853\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 20.6.0.b.1, 60.48.0-60.p.1.1, $\ldots$
50430.t4 50430.t \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 1822169, 1499768093]$ \(y^2+xy+y=x^3+x^2+1822169x+1499768093\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 20.6.0.a.1, $\ldots$
50430.u1 50430.u \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $3.877431464$ $[1, 1, 1, -2020637680, -34961596366945]$ \(y^2+xy+y=x^3+x^2-2020637680x-34961596366945\) 7.24.0.a.2, 287.48.0.?, 840.48.0.?, 4920.2.0.?, 34440.96.2.?
50430.u2 50430.u \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $0.553918780$ $[1, 1, 1, 3874670, -1112637025]$ \(y^2+xy+y=x^3+x^2+3874670x-1112637025\) 7.24.0.a.1, 287.48.0.?, 840.48.0.?, 4920.2.0.?, 34440.96.2.?
50430.v1 50430.v \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -58870, -4992505]$ \(y^2+xy+y=x^3+x^2-58870x-4992505\) 12.2.0.a.1
50430.w1 50430.w \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $0.118256419$ $[1, 0, 0, -1921, 253961]$ \(y^2+xy=x^3-1921x+253961\) 120.2.0.?
50430.x1 50430.x \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $0.937158832$ $[1, 0, 0, -4996, 129116]$ \(y^2+xy=x^3-4996x+129116\) 2.3.0.a.1, 20.6.0.d.1, 164.6.0.?, 410.6.0.?, 820.12.0.?
50430.x2 50430.x \( 2 \cdot 3 \cdot 5 \cdot 41^{2} \) $1$ $\Z/2\Z$ $0.468579416$ $[1, 0, 0, -896, -7824]$ \(y^2+xy=x^3-896x-7824\) 2.3.0.a.1, 20.6.0.d.1, 82.6.0.?, 820.12.0.?
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