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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 272816bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272816.bf1 | 272816bf1 | \([0, 1, 0, -34776, 3171668]\) | \(-47045881/17051\) | \(-1685789446221824\) | \([]\) | \(884736\) | \(1.6323\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272816bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 272816bf do not have complex multiplication.Modular form 272816.2.a.bf
sage: E.q_eigenform(10)