Properties

Label 6040.c
Number of curves $1$
Conductor $6040$
CM no
Rank $2$

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

Elliptic curves in class 6040.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6040.c1 6040i1 \([0, -1, 0, -30060, 2016100]\) \(-11734514422395856/294921875\) \(-75500000000\) \([]\) \(14976\) \(1.1955\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6040.c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 6040.c do not have complex multiplication.

Modular form 6040.2.a.c

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