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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 53900y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53900.q1 | 53900y1 | \([0, 0, 0, -300125, 67528125]\) | \(-16595712/1331\) | \(-239779691593750000\) | \([]\) | \(483840\) | \(2.0814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 53900y do not have complex multiplication.Modular form 53900.2.a.y
sage: E.q_eigenform(10)