Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 380926w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380926.w1 380926w1 \([1, 0, 1, -14616138, -21085081860]\) \(1498629769/33856\) \(7801226091719908853824\) \([]\) \(26417664\) \(2.9877\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380926w1 has rank \(0\).

Complex multiplication

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

Modular form 380926.2.a.w

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