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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 479808.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.bn1 | 479808bn1 | \([0, 0, 0, -237699, -19630576]\) | \(3042857664/1419857\) | \(693056666222311104\) | \([]\) | \(6988800\) | \(2.1178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808.bn do not have complex multiplication.Modular form 479808.2.a.bn
sage: E.q_eigenform(10)