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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 179088bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179088.r1 | 179088bf1 | \([0, -1, 0, -40136, -3084816]\) | \(-1745729089577929/2114671104\) | \(-8661692841984\) | \([]\) | \(435456\) | \(1.3930\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179088bf do not have complex multiplication.Modular form 179088.2.a.bf
sage: E.q_eigenform(10)