Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 8085.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8085.l1 | 8085a1 | \([0, -1, 1, -20351, -488734]\) | \(161702969344/75178125\) | \(433386930178125\) | \([]\) | \(23520\) | \(1.5031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8085.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8085.l do not have complex multiplication.Modular form 8085.2.a.l
sage: E.q_eigenform(10)