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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 39675.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39675.bn1 | 39675o1 | \([0, -1, 1, -2332008, -438741457]\) | \(2166784/1125\) | \(728200392427423828125\) | \([]\) | \(2543616\) | \(2.6950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39675.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39675.bn do not have complex multiplication.Modular form 39675.2.a.bn
sage: E.q_eigenform(10)