Properties

Label 29624.i
Number of curves $1$
Conductor $29624$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 29624.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29624.i1 29624g1 \([0, 0, 0, 253, 782]\) \(3306204/2401\) \(-1300612096\) \([]\) \(8448\) \(0.43718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29624.i1 has rank \(1\).

Complex multiplication

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

Modular form 29624.2.a.i

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