Properties

Label 71148bx
Number of curves $1$
Conductor $71148$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 71148bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.bk1 71148bx1 \([0, 1, 0, -13394740, -18873498316]\) \(-8985792737264/2187\) \(-64687295593122048\) \([]\) \(4257792\) \(2.6028\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148bx1 has rank \(0\).

Complex multiplication

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

Modular form 71148.2.a.bx

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