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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 16758.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16758.bi1 | 16758u1 | \([1, -1, 1, 28802803, -47700393163]\) | \(628805222251722551/597713542447104\) | \(-2511915028237990930415616\) | \([]\) | \(3161088\) | \(3.3691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16758.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16758.bi do not have complex multiplication.Modular form 16758.2.a.bi
sage: E.q_eigenform(10)