Properties

Label 24255bc
Number of curves $1$
Conductor $24255$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 24255bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24255.t1 24255bc1 \([0, 0, 1, -57918, 17341308]\) \(-250523582464/1369738755\) \(-117477179799719355\) \([]\) \(153600\) \(1.9595\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24255bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 24255bc do not have complex multiplication.

Modular form 24255.2.a.bc

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