Properties

Label 205350dw
Number of curves $1$
Conductor $205350$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dw1")
 
E.isogeny_class()
 

Elliptic curves in class 205350dw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
205350.g1 205350dw1 \([1, 1, 0, -1229390, -525006180]\) \(63246685/24\) \(77977043877046200\) \([]\) \(4027968\) \(2.2076\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 205350dw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 205350dw do not have complex multiplication.

Modular form 205350.2.a.dw

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