Show commands:
SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 229320cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
229320.m1 | 229320cl1 | \([0, 0, 0, 28812, -6790028]\) | \(1354752/10985\) | \(-21447871098151680\) | \([]\) | \(1725696\) | \(1.8151\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320cl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320cl do not have complex multiplication.Modular form 229320.2.a.cl
sage: E.q_eigenform(10)