Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 69366.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69366.g1 69366k1 \([1, 0, 1, -853, -8968]\) \(68523370149961/5461323912\) \(5461323912\) \([]\) \(82560\) \(0.61186\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69366.g1 has rank \(2\).

Complex multiplication

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

Modular form 69366.2.a.g

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