Properties

Label 290145.v
Number of curves $1$
Conductor $290145$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 290145.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
290145.v1 290145v1 \([1, 0, 1, 11, 77]\) \(198911/3105\) \(-2611305\) \([]\) \(72000\) \(-0.088119\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 290145.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 290145.v do not have complex multiplication.

Modular form 290145.2.a.v

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