Show commands:
SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 10944.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10944.cn1 | 10944co1 | \([0, 0, 0, -126, -16362]\) | \(-4741632/2476099\) | \(-115524874944\) | \([]\) | \(15360\) | \(0.80182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10944.cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10944.cn do not have complex multiplication.Modular form 10944.2.a.cn
sage: E.q_eigenform(10)