Properties

Label 380926.q
Number of curves $1$
Conductor $380926$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 380926.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380926.q1 380926q1 \([1, -1, 0, 806482, -655142188]\) \(2917645350022143/11008380780544\) \(-218876123386087358464\) \([]\) \(14708736\) \(2.5857\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380926.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 380926.q do not have complex multiplication.

Modular form 380926.2.a.q

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