Properties

Label 71148f
Number of curves $1$
Conductor $71148$
CM no
Rank $1$

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

Elliptic curves in class 71148f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.z1 71148f1 \([0, -1, 0, -173917, 27983782]\) \(-70647808/27\) \(-222339890857392\) \([]\) \(441936\) \(1.7189\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 71148f do not have complex multiplication.

Modular form 71148.2.a.f

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