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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 392784bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.bf1 | 392784bf1 | \([0, -1, 0, -44424, 3551472]\) | \(6901323756319/147750912\) | \(207579393294336\) | \([]\) | \(2350080\) | \(1.5362\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 392784bf do not have complex multiplication.Modular form 392784.2.a.bf
sage: E.q_eigenform(10)