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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 301392.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301392.by1 | 301392by1 | \([0, 0, 0, -2853660, -1855455716]\) | \(13770918300093568000/31622653517\) | \(5901546089956608\) | \([]\) | \(3916800\) | \(2.2697\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301392.by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301392.by do not have complex multiplication.Modular form 301392.2.a.by
sage: E.q_eigenform(10)