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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 85176.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85176.by1 | 85176d1 | \([0, 0, 0, -118131, -15629458]\) | \(-683064198/91\) | \(-24288193972224\) | \([]\) | \(322560\) | \(1.5878\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85176.by do not have complex multiplication.Modular form 85176.2.a.by
sage: E.q_eigenform(10)