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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 299538.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.y1 | 299538y1 | \([1, -1, 1, -103568384, 405662836771]\) | \(329141032560513/45088768\) | \(16830291946773930835968\) | \([]\) | \(58544640\) | \(3.2827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 299538.y do not have complex multiplication.Modular form 299538.2.a.y
sage: E.q_eigenform(10)