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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 22848.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22848.bn1 | 22848z1 | \([0, 1, 0, -141057, -20943009]\) | \(-1184052061112257/34349180544\) | \(-9004431584526336\) | \([]\) | \(161280\) | \(1.8406\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22848.bn do not have complex multiplication.Modular form 22848.2.a.bn
sage: E.q_eigenform(10)