Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 374790.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.j1 | 374790j1 | \([1, 1, 0, -26041678, 68412389428]\) | \(-73871239737079/33745920000\) | \(-892229374264230712320000\) | \([]\) | \(61900800\) | \(3.3022\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790.j do not have complex multiplication.Modular form 374790.2.a.j
sage: E.q_eigenform(10)