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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 309168bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.bn1 | 309168bn1 | \([0, 0, 0, 168, -1613]\) | \(44957696/122379\) | \(-1427428656\) | \([]\) | \(175104\) | \(0.44019\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168bn do not have complex multiplication.Modular form 309168.2.a.bn
sage: E.q_eigenform(10)