Properties

Label 24882c
Number of curves $1$
Conductor $24882$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 24882c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24882.g1 24882c1 \([1, 1, 0, -38577, -3096747]\) \(-6349311810814878361/425545948878336\) \(-425545948878336\) \([]\) \(155520\) \(1.5589\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24882c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 24882c do not have complex multiplication.

Modular form 24882.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 3 q^{7} - q^{8} + q^{9} - q^{10} - q^{11} - q^{12} + q^{13} + 3 q^{14} - q^{15} + q^{16} + 5 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display