Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 83259.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83259.l1 | 83259o1 | \([1, -1, 0, 13719, 2980412]\) | \(783/11\) | \(-4011475985534259\) | \([]\) | \(341040\) | \(1.6747\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83259.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83259.l do not have complex multiplication.Modular form 83259.2.a.l
sage: E.q_eigenform(10)