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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 10584bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10584.c1 | 10584bn1 | \([0, 0, 0, -5292, 185220]\) | \(-3072\) | \(-5335338855168\) | \([]\) | \(23760\) | \(1.1547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10584bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10584bn do not have complex multiplication.Modular form 10584.2.a.bn
sage: E.q_eigenform(10)