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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 4998.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4998.bn1 | 4998bj1 | \([1, 0, 0, -2451, -7071]\) | \(5764801/3264\) | \(921999212736\) | \([]\) | \(10080\) | \(0.98578\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4998.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4998.bn do not have complex multiplication.Modular form 4998.2.a.bn
sage: E.q_eigenform(10)