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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 185130.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185130.by1 | 185130ev1 | \([1, -1, 0, -123624, -29738032]\) | \(-4368317413923/5475734000\) | \(-261916113620898000\) | \([]\) | \(2304000\) | \(2.0356\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185130.by do not have complex multiplication.Modular form 185130.2.a.by
sage: E.q_eigenform(10)