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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 145794z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.t1 | 145794z1 | \([1, 0, 1, -1151, 13682]\) | \(34515625/3168\) | \(15458829408\) | \([]\) | \(168960\) | \(0.69412\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145794z do not have complex multiplication.Modular form 145794.2.a.z
sage: E.q_eigenform(10)