Show commands:
SageMath
E = EllipticCurve("fm1")
E.isogeny_class()
Elliptic curves in class 374850fm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374850.fm1 | 374850fm1 | \([1, -1, 0, -501867, -402678459]\) | \(-417267265/1850688\) | \(-62002473023925000000\) | \([]\) | \(8294400\) | \(2.4827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374850fm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374850fm do not have complex multiplication.Modular form 374850.2.a.fm
sage: E.q_eigenform(10)