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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 97461.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.y1 | 97461s1 | \([0, 0, 1, -6321, -2824691]\) | \(-325660672/40000779\) | \(-3430711651808259\) | \([]\) | \(847872\) | \(1.6604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97461.y do not have complex multiplication.Modular form 97461.2.a.y
sage: E.q_eigenform(10)