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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 271950z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.z1 | 271950z1 | \([1, 1, 0, 3855050, 7243196500]\) | \(137868581419655/572735619072\) | \(-26321005018828800000000\) | \([]\) | \(18662400\) | \(2.9847\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271950z do not have complex multiplication.Modular form 271950.2.a.z
sage: E.q_eigenform(10)