Properties

Label 36784x
Number of curves $1$
Conductor $36784$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 36784x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36784.c1 36784x1 \([0, 0, 0, -715, 7546]\) \(-81563625/2432\) \(-1205338112\) \([]\) \(36288\) \(0.52076\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36784x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 36784x do not have complex multiplication.

Modular form 36784.2.a.x

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} + 7 q^{13} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display