Properties

Label 374850fm
Number of curves $1$
Conductor $374850$
CM no
Rank $1$

Related objects

Downloads

Learn more

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)
 
\(q - q^{2} + q^{4} - q^{8} + 2 q^{11} + q^{16} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display