Properties

Label 6240f
Number of curves $1$
Conductor $6240$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 6240f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6240.j1 6240f1 \([0, -1, 0, -44845, -3640475]\) \(-2435092894982656/88846875\) \(-363916800000\) \([]\) \(13440\) \(1.3063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6240f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6240f do not have complex multiplication.

Modular form 6240.2.a.f

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