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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 96600.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.v1 | 96600by1 | \([0, -1, 0, -21308, 4855812]\) | \(-6687321077200/59606972523\) | \(-9537115603680000\) | \([]\) | \(604800\) | \(1.7487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96600.v do not have complex multiplication.Modular form 96600.2.a.v
sage: E.q_eigenform(10)