Properties

Label 1950.q
Number of curves $1$
Conductor $1950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 1950.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1950.q1 1950p1 \([1, 1, 1, 2, 11]\) \(34295/1872\) \(-46800\) \([]\) \(192\) \(-0.42418\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1950.q1 has rank \(1\).

Complex multiplication

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

Modular form 1950.2.a.q

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