Properties

Label 4036069.c
Number of curves $1$
Conductor $4036069$
CM no
Rank $4$

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

Elliptic curves in class 4036069.c

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
4036069.c1 \([0, 0, 1, -21184, 1186752]\) \(1051350717450682368/4036069\) \(4036069\) \([]\) \(8873664\) \(0.90460\)

Rank

sage: E.rank()
 

The elliptic curve 4036069.c1 has rank \(4\).

Complex multiplication

The elliptic curves in class 4036069.c do not have complex multiplication.

Modular form 4036069.2.a.c

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