Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 142912.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.l1 | 142912e1 | \([0, -1, 0, -354865, 81484361]\) | \(4826301862836722944/1579358473\) | \(1617263076352\) | \([]\) | \(957440\) | \(1.7019\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142912.l do not have complex multiplication.Modular form 142912.2.a.l
sage: E.q_eigenform(10)