Properties

Label 360640.ft
Number of curves $1$
Conductor $360640$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ft1")
 
E.isogeny_class()
 

Elliptic curves in class 360640.ft

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
360640.ft1 360640ft1 \([0, 1, 0, -183521, 30268055]\) \(-5674076449024/14904575\) \(-1795592544435200\) \([]\) \(2064384\) \(1.8023\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 360640.ft1 has rank \(1\).

Complex multiplication

The elliptic curves in class 360640.ft do not have complex multiplication.

Modular form 360640.2.a.ft

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{9} - 2 q^{11} - 5 q^{13} - q^{15} + 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display