Show commands:
SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 22848.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22848.cg1 | 22848bl1 | \([0, 1, 0, -21, -147]\) | \(-16777216/122451\) | \(-7836864\) | \([]\) | \(4608\) | \(0.0059604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22848.cg do not have complex multiplication.Modular form 22848.2.a.cg
sage: E.q_eigenform(10)