Properties

Label 169050.h
Number of curves $1$
Conductor $169050$
CM no
Rank $2$

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

Elliptic curves in class 169050.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169050.h1 169050hu1 \([1, 1, 0, 33050, -12194300]\) \(1108034375/18510768\) \(-66694308673230000\) \([]\) \(1636992\) \(1.9088\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169050.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 169050.h do not have complex multiplication.

Modular form 169050.2.a.h

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