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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 7350.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.bn1 | 7350bz1 | \([1, 1, 1, 4752, -508719]\) | \(16468459/165888\) | \(-119538913536000\) | \([]\) | \(29568\) | \(1.3823\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350.bn do not have complex multiplication.Modular form 7350.2.a.bn
sage: E.q_eigenform(10)