Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 71148ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.be1 71148ba1 \([0, -1, 0, -132414, 22143717]\) \(-76995328/18711\) \(-62396658461524464\) \([]\) \(691200\) \(1.9412\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148ba1 has rank \(0\).

Complex multiplication

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

Modular form 71148.2.a.ba

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