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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 115920.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
115920.by1 | 115920y1 | \([0, 0, 0, -18643908, -30985145732]\) | \(-3840316976122235063296/27784071875\) | \(-5185174629600000\) | \([]\) | \(4320000\) | \(2.6118\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115920.by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 115920.by do not have complex multiplication.Modular form 115920.2.a.by
sage: E.q_eigenform(10)