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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 374790z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.z1 | 374790z1 | \([1, 1, 0, 800013, -253988739]\) | \(66392717639/71182800\) | \(-60711172139955214800\) | \([]\) | \(12142080\) | \(2.4827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790z do not have complex multiplication.Modular form 374790.2.a.z
sage: E.q_eigenform(10)