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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 94192bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94192.ba1 | 94192bi1 | \([0, 1, 0, -732295984, 7920667229524]\) | \(-21195308337309457/962072674304\) | \(-1971295864129013502992973824\) | \([]\) | \(58714560\) | \(4.0015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94192bi do not have complex multiplication.Modular form 94192.2.a.bi
sage: E.q_eigenform(10)