Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 485520l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 485520.l1 | 485520l1 | \([0, -1, 0, 4764245824, 11372454034176]\) | \(418557259677940327871/244176605948362500\) | \(-6976785513932450083390924800000\) | \([]\) | \(893030400\) | \(4.6078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485520l do not have complex multiplication.Modular form 485520.2.a.l
sage: E.q_eigenform(10)