Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 37229.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37229.a1 | 37229a1 | \([1, 0, 0, -9, 4]\) | \(81182737/37229\) | \(37229\) | \([]\) | \(3168\) | \(-0.42808\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37229.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 37229.a do not have complex multiplication.Modular form 37229.2.a.a
sage: E.q_eigenform(10)