Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 43560.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43560.l1 | 43560a1 | \([0, 0, 0, -17523, 892782]\) | \(121995126/5\) | \(24388024320\) | \([]\) | \(46080\) | \(1.0748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43560.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43560.l do not have complex multiplication.Modular form 43560.2.a.l
sage: E.q_eigenform(10)