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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 103056.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.bf1 | 103056z1 | \([0, 1, 0, -4866232, 4162350932]\) | \(-3111302831921821954873/28165508381540352\) | \(-115365922330789281792\) | \([]\) | \(3888000\) | \(2.6725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103056.bf do not have complex multiplication.Modular form 103056.2.a.bf
sage: E.q_eigenform(10)