Properties

Label 69366r
Number of curves $1$
Conductor $69366$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 69366r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69366.l1 69366r1 \([1, 1, 1, -275, -1519]\) \(2300490759601/479457792\) \(479457792\) \([]\) \(52992\) \(0.38066\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69366r1 has rank \(2\).

Complex multiplication

The elliptic curves in class 69366r do not have complex multiplication.

Modular form 69366.2.a.r

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 4 q^{5} - q^{6} - q^{7} + q^{8} + q^{9} - 4 q^{10} + q^{11} - q^{12} - 6 q^{13} - q^{14} + 4 q^{15} + q^{16} - 3 q^{17} + q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display