Properties

Label 29624a
Number of curves $1$
Conductor $29624$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 29624a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29624.h1 29624a1 \([0, 0, 0, 133837, -9514594]\) \(3306204/2401\) \(-192537267875513344\) \([]\) \(194304\) \(2.0049\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29624a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 29624a do not have complex multiplication.

Modular form 29624.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 3 q^{9} - q^{13} + 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display