Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 290145.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
290145.h1 290145h1 \([1, 1, 1, -2209745, -2346113080]\) \(-2385427495921/3369140625\) \(-1685400512417431640625\) \([]\) \(9799680\) \(2.7653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 290145.h1 has rank \(0\).

Complex multiplication

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

Modular form 290145.2.a.h

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