Properties

Label 292142h
Number of curves $1$
Conductor $292142$
CM no
Rank $1$

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

Elliptic curves in class 292142h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
292142.h1 292142h1 \([1, 0, 0, -6510, -190936]\) \(4826809/316\) \(1997550723484\) \([]\) \(628992\) \(1.1100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 292142h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 292142h do not have complex multiplication.

Modular form 292142.2.a.h

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