Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 338130.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.l1 | 338130l1 | \([1, -1, 0, -26545860, -52649932284]\) | \(-406813373046721/118462500\) | \(-602420570407903162500\) | \([]\) | \(25850880\) | \(2.9668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130.l do not have complex multiplication.Modular form 338130.2.a.l
sage: E.q_eigenform(10)