Properties

Label 24400q
Number of curves $1$
Conductor $24400$
CM no
Rank $0$

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

Elliptic curves in class 24400q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24400.c1 24400q1 \([0, 1, 0, 992, -12]\) \(1685159/976\) \(-62464000000\) \([]\) \(26880\) \(0.76095\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24400q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 24400q do not have complex multiplication.

Modular form 24400.2.a.q

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 5 q^{7} + q^{9} + 3 q^{11} + 3 q^{13} + O(q^{20})\) Copy content Toggle raw display