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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 279174.bf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 279174.bf1 | 279174bf1 | \([1, 0, 1, -612767429, -5838434770462]\) | \(-1054185895266980838422761/2842515641993706\) | \(-68611417442202376140714\) | \([]\) | \(80870400\) | \(3.6161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 279174.bf do not have complex multiplication.Modular form 279174.2.a.bf
sage: E.q_eigenform(10)