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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 229320by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
229320.g1 | 229320by1 | \([0, 0, 0, -57918, -5365843]\) | \(-767228471296/142155\) | \(-3981088303920\) | \([]\) | \(634368\) | \(1.4201\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320by do not have complex multiplication.Modular form 229320.2.a.by
sage: E.q_eigenform(10)