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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 309168bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.bi1 | 309168bi1 | \([0, 0, 0, 140928, 5163248]\) | \(103664033202176/63847694259\) | \(-190648193494265856\) | \([]\) | \(2985984\) | \(2.0049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 309168bi do not have complex multiplication.Modular form 309168.2.a.bi
sage: E.q_eigenform(10)