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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 15246.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15246.z1 | 15246ba1 | \([1, -1, 1, -24707, -1661525]\) | \(-395307/56\) | \(-236276647864488\) | \([]\) | \(95040\) | \(1.4891\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15246.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15246.z do not have complex multiplication.Modular form 15246.2.a.z
sage: E.q_eigenform(10)