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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 47775.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47775.bn1 | 47775z1 | \([0, -1, 1, -32013, 2215478]\) | \(-5035261952/351\) | \(-252930643875\) | \([]\) | \(98784\) | \(1.2413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47775.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47775.bn do not have complex multiplication.Modular form 47775.2.a.bn
sage: E.q_eigenform(10)