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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 79350bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.bb1 | 79350bn1 | \([1, 0, 1, -736, 9248]\) | \(-144672215/39366\) | \(-11974153050\) | \([]\) | \(72576\) | \(0.64994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350bn do not have complex multiplication.Modular form 79350.2.a.bn
sage: E.q_eigenform(10)