Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1171a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1171.a1 | 1171a1 | \([1, -1, 1, -3, 0]\) | \(2146689/1171\) | \(1171\) | \([]\) | \(88\) | \(-0.72039\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1171a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1171a do not have complex multiplication.Modular form 1171.2.a.a
sage: E.q_eigenform(10)