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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 379050.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.z1 | 379050z1 | \([1, 1, 0, -305771700, -2058133326000]\) | \(-172041783999846385/1179967488\) | \(-21684613290748800000000\) | \([]\) | \(94348800\) | \(3.4666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.z do not have complex multiplication.Modular form 379050.2.a.z
sage: E.q_eigenform(10)