Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 290145.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
290145.n1 290145n1 \([0, -1, 1, -8912675231, -323859305517619]\) \(-131631542171643599790505984/44988384234391875\) \(-26760140116725017502916875\) \([]\) \(293529600\) \(4.2357\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 290145.n1 has rank \(0\).

Complex multiplication

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

Modular form 290145.2.a.n

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