Properties

Label 126350.q
Number of curves $1$
Conductor $126350$
CM no
Rank $1$

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

Elliptic curves in class 126350.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126350.q1 126350w1 \([1, 1, 0, -805, -9055]\) \(6404818585/67228\) \(606732700\) \([]\) \(51840\) \(0.50182\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126350.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 126350.q do not have complex multiplication.

Modular form 126350.2.a.q

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