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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 179088bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179088.v1 | 179088bi1 | \([0, -1, 0, -14448, -663744]\) | \(-81436110288625/14259882\) | \(-58408476672\) | \([]\) | \(214272\) | \(1.0712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179088bi do not have complex multiplication.Modular form 179088.2.a.bi
sage: E.q_eigenform(10)