Properties

Label 29575.q
Number of curves $1$
Conductor $29575$
CM no
Rank $1$

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

Elliptic curves in class 29575.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29575.q1 29575b1 \([1, 1, 0, -1552775, -766335500]\) \(-32485001809/1071875\) \(-13661896352685546875\) \([]\) \(673920\) \(2.4465\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29575.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 29575.q do not have complex multiplication.

Modular form 29575.2.a.q

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