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SageMath
E = EllipticCurve("iz1")
E.isogeny_class()
Elliptic curves in class 242550iz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
242550.iz1 | 242550iz1 | \([1, -1, 1, -6104405, -5805136403]\) | \(-34068278205171/10307264\) | \(-7611090366033000000\) | \([]\) | \(7741440\) | \(2.6006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 242550iz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 242550iz do not have complex multiplication.Modular form 242550.2.a.iz
sage: E.q_eigenform(10)