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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 317400.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317400.bf1 | 317400bf1 | \([0, -1, 0, -2662633, -1675229363]\) | \(-3525581824/9315\) | \(-5515817224140000000\) | \([]\) | \(9732096\) | \(2.4712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317400.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 317400.bf do not have complex multiplication.Modular form 317400.2.a.bf
sage: E.q_eigenform(10)