Properties

Label 6026.c
Number of curves $1$
Conductor $6026$
CM no
Rank $1$

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

Elliptic curves in class 6026.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6026.c1 6026d1 \([1, 0, 0, -292759, 60945231]\) \(2774946215368363466737/1686321866\) \(1686321866\) \([]\) \(27040\) \(1.5272\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6026.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6026.c do not have complex multiplication.

Modular form 6026.2.a.c

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