Properties

Label 124950ix
Number of curves $1$
Conductor $124950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ix1")
 
E.isogeny_class()
 

Elliptic curves in class 124950ix

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124950.hs1 124950ix1 \([1, 0, 0, -55763, 14914017]\) \(-417267265/1850688\) \(-85051403325000000\) \([]\) \(1036800\) \(1.9334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124950ix1 has rank \(1\).

Complex multiplication

The elliptic curves in class 124950ix do not have complex multiplication.

Modular form 124950.2.a.ix

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