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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 200400.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.bf1 | 200400df1 | \([0, -1, 0, -4008, -4113]\) | \(28488868096/16435305\) | \(4108826250000\) | \([]\) | \(359424\) | \(1.1099\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200400.bf do not have complex multiplication.Modular form 200400.2.a.bf
sage: E.q_eigenform(10)