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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
29575.a1 29575.a \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -54925, 25883406]$ \(y^2+y=x^3-54925x+25883406\) 70.2.0.a.1
29575.b1 29575.b \( 5^{2} \cdot 7 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $0.317463059$ $[0, -1, 1, -35208, 1931568]$ \(y^2+y=x^3-x^2-35208x+1931568\) 26.2.0.a.1
29575.c1 29575.c \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.243833630$ $[0, -1, 1, -1408, 47218]$ \(y^2+y=x^3-x^2-1408x+47218\) 70.2.0.a.1
29575.d1 29575.d \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.682743724$ $[0, 0, 1, -325, -113344]$ \(y^2+y=x^3-325x-113344\) 70.2.0.a.1
29575.e1 29575.e \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.353704812$ $[0, 0, 1, 4225, 68656]$ \(y^2+y=x^3+4225x+68656\) 182.2.0.?
29575.f1 29575.f \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.127617902$ $[0, 1, 1, -626708, 191710744]$ \(y^2+y=x^3+x^2-626708x+191710744\) 5.12.0.a.1, 65.24.0-5.a.1.2, 70.24.1.d.1, 910.48.1.?
29575.f2 29575.f \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.638089514$ $[0, 1, 1, 7042, -315506]$ \(y^2+y=x^3+x^2+7042x-315506\) 5.12.0.a.2, 65.24.0-5.a.2.2, 70.24.1.d.2, 910.48.1.?
29575.g1 29575.g \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -9188, -352344]$ \(y^2+xy+y=x^3+x^2-9188x-352344\) 70.2.0.a.1
29575.h1 29575.h \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.789946783$ $[1, -1, 1, -1676005, -794594628]$ \(y^2+xy+y=x^3-x^2-1676005x-794594628\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 112.48.0.?, 130.6.0.?, $\ldots$
29575.h2 29575.h \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.579893567$ $[1, -1, 1, -302880, 48504122]$ \(y^2+xy+y=x^3-x^2-302880x+48504122\) 2.6.0.a.1, 4.24.0-4.a.1.2, 56.48.0-56.j.1.7, 260.48.0.?, 520.96.0.?, $\ldots$
29575.h3 29575.h \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/4\Z$ $2.789946783$ $[1, -1, 1, -281755, 57630122]$ \(y^2+xy+y=x^3-x^2-281755x+57630122\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 112.48.0.?, 130.6.0.?, $\ldots$
29575.h4 29575.h \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.789946783$ $[1, -1, 1, 732245, 307285372]$ \(y^2+xy+y=x^3-x^2+732245x+307285372\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 56.48.0-56.x.1.8, 260.24.0.?, $\ldots$
29575.i1 29575.i \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -70223, 1998706]$ \(y^2+xy+y=x^3+x^2-70223x+1998706\) 2.3.0.a.1, 140.6.0.?, 260.6.0.?, 364.6.0.?, 1820.12.0.?
29575.i2 29575.i \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -40648, -3147344]$ \(y^2+xy+y=x^3+x^2-40648x-3147344\) 2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.?
29575.j1 29575.j \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -1083, -13557]$ \(y^2+y=x^3-x^2-1083x-13557\) 70.2.0.a.1
29575.k1 29575.k \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -554883, -166240332]$ \(y^2+y=x^3-x^2-554883x-166240332\) 3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.2, 70.2.0.a.1, 195.8.0.?, $\ldots$
29575.k2 29575.k \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -5633, 182418]$ \(y^2+y=x^3-x^2-5633x+182418\) 3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 70.2.0.a.1, 195.8.0.?, $\ldots$
29575.k3 29575.k \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, 36617, -472457]$ \(y^2+y=x^3-x^2+36617x-472457\) 3.12.0.a.1, 63.36.0.b.1, 70.2.0.a.1, 195.24.0.?, 210.24.1.?, $\ldots$
29575.l1 29575.l \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.801689652$ $[0, -1, 1, -183083, -30516432]$ \(y^2+y=x^3-x^2-183083x-30516432\) 70.2.0.a.1
29575.m1 29575.m \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -7323, -247061]$ \(y^2+y=x^3+x^2-7323x-247061\) 70.2.0.a.1
29575.n1 29575.n \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.292863771$ $[0, 1, 1, -43, -126]$ \(y^2+y=x^3+x^2-43x-126\) 70.2.0.a.1
29575.o1 29575.o \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -495733, -330943507]$ \(y^2+y=x^3-x^2-495733x-330943507\) 3.4.0.a.1, 9.12.0.a.1, 117.36.0.?, 182.2.0.?, 195.8.0.?, $\ldots$
29575.o2 29575.o \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -30983, 2113243]$ \(y^2+y=x^3-x^2-30983x+2113243\) 3.4.0.a.1, 9.12.0.a.1, 117.36.0.?, 182.2.0.?, 195.8.0.?, $\ldots$
29575.o3 29575.o \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, 53517, 10415368]$ \(y^2+y=x^3-x^2+53517x+10415368\) 3.12.0.a.1, 117.36.0.?, 182.2.0.?, 195.24.0.?, 210.24.0.?, $\ldots$
29575.p1 29575.p \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $10.16587589$ $[1, 0, 1, -1755576, 253349423]$ \(y^2+xy+y=x^3-1755576x+253349423\) 2.3.0.a.1, 140.6.0.?, 260.6.0.?, 364.6.0.?, 1820.12.0.?
29575.p2 29575.p \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.082937949$ $[1, 0, 1, -1016201, -391385577]$ \(y^2+xy+y=x^3-1016201x-391385577\) 2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.?
29575.q1 29575.q \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $4.550670397$ $[1, 1, 0, -1552775, -766335500]$ \(y^2+xy=x^3+x^2-1552775x-766335500\) 70.2.0.a.1
29575.r1 29575.r \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $37.95117934$ $[1, -1, 0, -19731542, -33730697259]$ \(y^2+xy=x^3-x^2-19731542x-33730697259\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, 56.12.0-4.c.1.3, $\ldots$
29575.r2 29575.r \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $18.97558967$ $[1, -1, 0, -1247167, -514275384]$ \(y^2+xy=x^3-x^2-1247167x-514275384\) 2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.2, 52.12.0-2.a.1.1, 140.24.0.?, $\ldots$
29575.r3 29575.r \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $9.487794836$ $[1, -1, 0, -212042, 27094991]$ \(y^2+xy=x^3-x^2-212042x+27094991\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.2, 56.12.0-4.c.1.3, $\ldots$
29575.r4 29575.r \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $37.95117934$ $[1, -1, 0, 675208, -1957979009]$ \(y^2+xy=x^3-x^2+675208x-1957979009\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.3, 104.12.0.?, $\ldots$
29575.s1 29575.s \( 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.521224634$ $[0, 0, 1, -325, 11781]$ \(y^2+y=x^3-325x+11781\) 70.2.0.a.1
29575.t1 29575.t \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -25068, 1543713]$ \(y^2+y=x^3-x^2-25068x+1543713\) 5.12.0.a.1, 65.24.0-5.a.1.1, 70.24.1.d.1, 910.48.1.?
29575.t2 29575.t \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, 282, -2637]$ \(y^2+y=x^3-x^2+282x-2637\) 5.12.0.a.2, 65.24.0-5.a.2.1, 70.24.1.d.2, 910.48.1.?
29575.u1 29575.u \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -238008, 102786543]$ \(y^2+y=x^3-x^2-238008x+102786543\) 70.2.0.a.1
29575.v1 29575.v \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -54925, -249016219]$ \(y^2+y=x^3-54925x-249016219\) 70.2.0.a.1
29575.w1 29575.w \( 5^{2} \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -1408, 14889]$ \(y^2+y=x^3+x^2-1408x+14889\) 26.2.0.a.1
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