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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 271950.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.bn1 | 271950bn1 | \([1, 1, 0, -1059650, 419407500]\) | \(-71581931663761/199800\) | \(-367285471875000\) | \([]\) | \(3421440\) | \(2.0270\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950.bn do not have complex multiplication.Modular form 271950.2.a.bn
sage: E.q_eigenform(10)