Show commands:
SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 148800cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148800.kp1 | 148800cn1 | \([0, 1, 0, -36881633, -86671735137]\) | \(-1354547383894636849/8173828125000\) | \(-33480000000000000000000\) | \([]\) | \(21565440\) | \(3.1616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148800cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 148800cn do not have complex multiplication.Modular form 148800.2.a.cn
sage: E.q_eigenform(10)