Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1126a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1126.a1 | 1126a1 | \([1, -1, 0, 2, 4]\) | \(658503/9008\) | \(-9008\) | \([]\) | \(176\) | \(-0.56044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1126a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1126a do not have complex multiplication.Modular form 1126.2.a.a
sage: E.q_eigenform(10)