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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 19600bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.y1 | 19600bn1 | \([0, 1, 0, 292, -1037]\) | \(1280\) | \(-2143750000\) | \([]\) | \(7680\) | \(0.47849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19600bn do not have complex multiplication.Modular form 19600.2.a.bn
sage: E.q_eigenform(10)