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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
12600.a1 12600.a \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.564748790$ $[0, 0, 0, -150, 625]$ \(y^2=x^3-150x+625\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?
12600.a2 12600.a \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.129497581$ $[0, 0, 0, 225, 3250]$ \(y^2=x^3+225x+3250\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?
12600.b1 12600.b \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $5.161062278$ $[0, 0, 0, -7606875, 8080196875]$ \(y^2=x^3-7606875x+8080196875\) 14.2.0.a.1
12600.c1 12600.c \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.369675401$ $[0, 0, 0, -75, -425]$ \(y^2=x^3-75x-425\) 14.2.0.a.1
12600.d1 12600.d \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $8.532043544$ $[0, 0, 0, -8475, -395050]$ \(y^2=x^3-8475x-395050\) 168.2.0.?
12600.e1 12600.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $9.117244682$ $[0, 0, 0, -5490075, 4950049750]$ \(y^2=x^3-5490075x+4950049750\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 48.48.0-8.bb.1.8, 56.48.0.bj.1, $\ldots$
12600.e2 12600.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.558622341$ $[0, 0, 0, -387075, 56272750]$ \(y^2=x^3-387075x+56272750\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.8, 40.48.0.w.2, $\ldots$
12600.e3 12600.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.279311170$ $[0, 0, 0, -166575, -25532750]$ \(y^2=x^3-166575x-25532750\) 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.c.1, $\ldots$
12600.e4 12600.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $4.558622341$ $[0, 0, 0, -165450, -25902875]$ \(y^2=x^3-165450x-25902875\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$
12600.e5 12600.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $4.558622341$ $[0, 0, 0, 35925, -83650250]$ \(y^2=x^3+35925x-83650250\) 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.h.1, $\ldots$
12600.e6 12600.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $9.117244682$ $[0, 0, 0, 1187925, 398047750]$ \(y^2=x^3+1187925x+398047750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.8, $\ldots$
12600.f1 12600.f \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1875, -183125]$ \(y^2=x^3-1875x-183125\) 14.2.0.a.1
12600.g1 12600.g \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $31.47880848$ $[0, 0, 0, 44476125, -198765301250]$ \(y^2=x^3+44476125x-198765301250\) 168.2.0.?
12600.h1 12600.h \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2355, -7250]$ \(y^2=x^3-2355x-7250\) 2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
12600.h2 12600.h \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1755, -28250]$ \(y^2=x^3-1755x-28250\) 2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
12600.i1 12600.i \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -71550, -7198875]$ \(y^2=x^3-71550x-7198875\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?
12600.i2 12600.i \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 12825, -23145750]$ \(y^2=x^3+12825x-23145750\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?
12600.j1 12600.j \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $4.045002103$ $[0, 0, 0, -6375, -143750]$ \(y^2=x^3-6375x-143750\) 2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?
12600.j2 12600.j \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $2.022501051$ $[0, 0, 0, 16125, -931250]$ \(y^2=x^3+16125x-931250\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
12600.k1 12600.k \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $2.668287467$ $[0, 0, 0, -138855, 19915450]$ \(y^2=x^3-138855x+19915450\) 2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?
12600.k2 12600.k \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.334143733$ $[0, 0, 0, -137955, 20186350]$ \(y^2=x^3-137955x+20186350\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
12600.l1 12600.l \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 5625, -253125]$ \(y^2=x^3+5625x-253125\) 14.2.0.a.1
12600.m1 12600.m \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -6375, 464375]$ \(y^2=x^3-6375x+464375\) 14.2.0.a.1
12600.n1 12600.n \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -907275, -332626250]$ \(y^2=x^3-907275x-332626250\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 42.6.0.a.1, $\ldots$
12600.n2 12600.n \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -88275, 1210750]$ \(y^2=x^3-88275x+1210750\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.5, $\ldots$
12600.n3 12600.n \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -56775, -5183750]$ \(y^2=x^3-56775x-5183750\) 2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.1, $\ldots$
12600.n4 12600.n \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1650, -167375]$ \(y^2=x^3-1650x-167375\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$
12600.o1 12600.o \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $4.650975588$ $[0, 0, 0, -147675, -21798250]$ \(y^2=x^3-147675x-21798250\) 2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.bb.1.7, 120.24.0.?, 840.48.0.?
12600.o2 12600.o \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.325487794$ $[0, 0, 0, -12675, -63250]$ \(y^2=x^3-12675x-63250\) 2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.6, 120.24.0.?, 420.24.0.?, $\ldots$
12600.o3 12600.o \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/4\Z$ $1.162743897$ $[0, 0, 0, -8175, 283250]$ \(y^2=x^3-8175x+283250\) 2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.bb.1.15, 120.24.0.?, 210.6.0.?, $\ldots$
12600.o4 12600.o \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $4.650975588$ $[0, 0, 0, 50325, -504250]$ \(y^2=x^3+50325x-504250\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.v.1.7, 120.24.0.?, $\ldots$
12600.p1 12600.p \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -9075, 328750]$ \(y^2=x^3-9075x+328750\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1
12600.p2 12600.p \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -75, 13750]$ \(y^2=x^3-75x+13750\) 2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1
12600.q1 12600.q \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -840675, 296680750]$ \(y^2=x^3-840675x+296680750\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.5, $\ldots$
12600.q2 12600.q \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -147675, -15988250]$ \(y^2=x^3-147675x-15988250\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 42.6.0.a.1, $\ldots$
12600.q3 12600.q \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -53175, 4518250]$ \(y^2=x^3-53175x+4518250\) 2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.1, $\ldots$
12600.q4 12600.q \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 1950, 273625]$ \(y^2=x^3+1950x+273625\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$
12600.r1 12600.r \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $3.177061683$ $[0, 0, 0, -37875, 2848750]$ \(y^2=x^3-37875x+2848750\) 8.2.0.a.1
12600.s1 12600.s \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $2.049407369$ $[0, 0, 0, 1500, -537500]$ \(y^2=x^3+1500x-537500\) 70.2.0.a.1
12600.t1 12600.t \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $2.010367684$ $[0, 0, 0, -15375, -2213125]$ \(y^2=x^3-15375x-2213125\) 14.2.0.a.1
12600.u1 12600.u \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.373526261$ $[0, 0, 0, -7950, 266625]$ \(y^2=x^3-7950x+266625\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?
12600.u2 12600.u \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $2.747052522$ $[0, 0, 0, 1425, 857250]$ \(y^2=x^3+1425x+857250\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?
12600.v1 12600.v \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $5.363905645$ $[0, 0, 0, -21195, 195750]$ \(y^2=x^3-21195x+195750\) 2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
12600.v2 12600.v \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $2.681952822$ $[0, 0, 0, -15795, 762750]$ \(y^2=x^3-15795x+762750\) 2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
12600.w1 12600.w \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.720196110$ $[0, 0, 0, -75, -1370]$ \(y^2=x^3-75x-1370\) 168.2.0.?
12600.x1 12600.x \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $3.226887109$ $[0, 0, 0, 5685, -217285]$ \(y^2=x^3+5685x-217285\) 14.2.0.a.1
12600.y1 12600.y \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -255, -1685]$ \(y^2=x^3-255x-1685\) 14.2.0.a.1
12600.z1 12600.z \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $2.171051480$ $[0, 0, 0, -102675, -12649250]$ \(y^2=x^3-102675x-12649250\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 42.6.0.a.1, $\ldots$
12600.z2 12600.z \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $2.171051480$ $[0, 0, 0, -75675, 7951750]$ \(y^2=x^3-75675x+7951750\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.3, $\ldots$
12600.z3 12600.z \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.085525740$ $[0, 0, 0, -8175, -80750]$ \(y^2=x^3-8175x-80750\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.2, 60.24.0-60.a.1.3, $\ldots$
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