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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 75810z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.p1 | 75810z1 | \([1, 1, 0, -672, 8064]\) | \(-93182366881/29393280\) | \(-10610974080\) | \([]\) | \(104832\) | \(0.63692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75810z do not have complex multiplication.Modular form 75810.2.a.z
sage: E.q_eigenform(10)