Properties

Label 6034.f
Number of curves $1$
Conductor $6034$
CM no
Rank $0$

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

Elliptic curves in class 6034.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6034.f1 6034e1 \([1, -1, 1, -21219, 1262371]\) \(-1056523745572249473/71239289311232\) \(-71239289311232\) \([]\) \(38016\) \(1.4098\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6034.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6034.f do not have complex multiplication.

Modular form 6034.2.a.f

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