Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 142912.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.n1 | 142912bl1 | \([0, -1, 0, -48489, 2827153]\) | \(12312957911772928/3792039693673\) | \(3883048646321152\) | \([]\) | \(576000\) | \(1.6959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142912.n do not have complex multiplication.Modular form 142912.2.a.n
sage: E.q_eigenform(10)