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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 236992.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.by1 | 236992by1 | \([0, 1, 0, -337, -2777]\) | \(-340736/49\) | \(-610491392\) | \([]\) | \(73728\) | \(0.41650\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 236992.by do not have complex multiplication.Modular form 236992.2.a.by
sage: E.q_eigenform(10)