Properties

Label 29575f
Number of curves $1$
Conductor $29575$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 29575f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29575.e1 29575f1 \([0, 0, 1, 4225, 68656]\) \(110592/91\) \(-6863119046875\) \([]\) \(72576\) \(1.1509\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29575f1 has rank \(1\).

Complex multiplication

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

Modular form 29575.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{7} - 3 q^{9} + 6 q^{11} + 2 q^{14} - 4 q^{16} - 4 q^{17} + 6 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display