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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 211600.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.bn1 | 211600dg1 | \([0, -1, 0, 192, -2513]\) | \(256\) | \(-3041750000\) | \([]\) | \(98304\) | \(0.50238\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 211600.bn do not have complex multiplication.Modular form 211600.2.a.bn
sage: E.q_eigenform(10)