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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 54390.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.z1 | 54390y1 | \([1, 0, 1, -1269273, 112900693756]\) | \(-1922206784037612409/46803595776000000000\) | \(-5506396239450624000000000\) | \([]\) | \(15676416\) | \(3.4262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54390.z do not have complex multiplication.Modular form 54390.2.a.z
sage: E.q_eigenform(10)