Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 37905.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37905.i1 | 37905a1 | \([0, -1, 1, -173761, -22204044]\) | \(94633984/19845\) | \(121671009886060845\) | \([]\) | \(372096\) | \(1.9932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37905.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37905.i do not have complex multiplication.Modular form 37905.2.a.i
sage: E.q_eigenform(10)