Properties

Label 290145p
Number of curves $1$
Conductor $290145$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 290145p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
290145.p1 290145p1 \([0, -1, 1, -2455, 33111]\) \(67121414144/20371905\) \(496850391045\) \([]\) \(305536\) \(0.94932\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 290145p1 has rank \(1\).

Complex multiplication

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

Modular form 290145.2.a.p

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