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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 155526by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.x1 | 155526by1 | \([1, 0, 1, 1697285, 3541774142]\) | \(633631943/6716184\) | \(-5731574238502919252376\) | \([]\) | \(14902272\) | \(2.8561\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526by do not have complex multiplication.Modular form 155526.2.a.by
sage: E.q_eigenform(10)