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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 89232.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89232.v1 | 89232bt1 | \([0, -1, 0, -1503480, -921653136]\) | \(-8653002877/3449952\) | \(-149852216610324873216\) | \([]\) | \(1797120\) | \(2.5802\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89232.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 89232.v do not have complex multiplication.Modular form 89232.2.a.v
sage: E.q_eigenform(10)