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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 116886.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.bn1 | 116886bp1 | \([1, 0, 0, -7670011, -8176720111]\) | \(-28167971010661685449/231722287104\) | \(-410510166664249344\) | \([]\) | \(4147200\) | \(2.5501\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116886.bn do not have complex multiplication.Modular form 116886.2.a.bn
sage: E.q_eigenform(10)