Show commands:
SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 54080cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54080.b1 | 54080cn1 | \([0, 0, 0, -4108, -100568]\) | \(44302512384/390625\) | \(67600000000\) | \([]\) | \(122880\) | \(0.90161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54080cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54080cn do not have complex multiplication.Modular form 54080.2.a.cn
sage: E.q_eigenform(10)