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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 287490.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.z1 | 287490z1 | \([1, 1, 0, -1767, -30681]\) | \(-446081167009/24806250\) | \(-33959756250\) | \([]\) | \(322560\) | \(0.77834\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 287490.z do not have complex multiplication.Modular form 287490.2.a.z
sage: E.q_eigenform(10)