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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 70602.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.z1 | 70602y1 | \([1, 1, 1, -5540611, 5832037931]\) | \(-3959985141923329/804085973082\) | \(-3819492190865420040762\) | \([]\) | \(7862400\) | \(2.8636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70602.z do not have complex multiplication.Modular form 70602.2.a.z
sage: E.q_eigenform(10)