Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dm1")
 
E.isogeny_class()
 

Elliptic curves in class 205350dm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
205350.e1 205350dm1 \([1, 1, 0, -2242450, -547293500]\) \(908905/432\) \(592730907849168750000\) \([]\) \(11508480\) \(2.6799\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 205350dm1 has rank \(0\).

Complex multiplication

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

Modular form 205350.2.a.dm

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