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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 200400bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.z1 | 200400bn1 | \([0, -1, 0, 9592, -1148688]\) | \(1524845951/9739440\) | \(-623324160000000\) | \([]\) | \(774144\) | \(1.5206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200400bn do not have complex multiplication.Modular form 200400.2.a.bn
sage: E.q_eigenform(10)