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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 116886.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.bi1 | 116886bs1 | \([1, 0, 0, 12400, -855744]\) | \(119022883559/247883328\) | \(-439140436435008\) | \([]\) | \(725760\) | \(1.4940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116886.bi do not have complex multiplication.Modular form 116886.2.a.bi
sage: E.q_eigenform(10)