Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 29575.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29575.n1 29575t1 \([0, 1, 1, -43, -126]\) \(-425984/7\) \(-147875\) \([]\) \(2976\) \(-0.20817\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29575.n1 has rank \(1\).

Complex multiplication

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

Modular form 29575.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + q^{7} - 2 q^{9} - 5 q^{11} - 2 q^{12} + 4 q^{16} - 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display