Properties

Label 4014.i
Number of curves $1$
Conductor $4014$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 4014.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4014.i1 4014i1 \([1, -1, 1, -38, -71]\) \(8120601/892\) \(650268\) \([]\) \(1232\) \(-0.15109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4014.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4014.i do not have complex multiplication.

Modular form 4014.2.a.i

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