Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 135501a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135501.a1 | 135501a1 | \([0, -1, 1, -11852, -184450]\) | \(207474688/102789\) | \(91225615866309\) | \([]\) | \(856800\) | \(1.3717\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135501a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 135501a do not have complex multiplication.Modular form 135501.2.a.a
sage: E.q_eigenform(10)