Properties

Label 1950h
Number of curves $1$
Conductor $1950$
CM no
Rank $1$

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

Elliptic curves in class 1950h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1950.l1 1950h1 \([1, 0, 1, -826, 9068]\) \(-2488672890625/2426112\) \(-60652800\) \([]\) \(1152\) \(0.41408\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1950h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1950h do not have complex multiplication.

Modular form 1950.2.a.h

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