Properties

Label 69366b
Number of curves $1$
Conductor $69366$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 69366b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69366.f1 69366b1 \([1, 1, 0, -326, -27828]\) \(-3849961626217/329050384344\) \(-329050384344\) \([]\) \(170400\) \(0.88958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69366b1 has rank \(1\).

Complex multiplication

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

Modular form 69366.2.a.b

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