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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 97104.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.y1 | 97104j1 | \([0, -1, 0, -8188, -309701]\) | \(-544000/63\) | \(-7031563500528\) | \([]\) | \(215424\) | \(1.2014\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97104.y do not have complex multiplication.Modular form 97104.2.a.y
sage: E.q_eigenform(10)