Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 71148.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.b1 71148c1 \([0, -1, 0, 21740, -2930024]\) \(784/3\) \(-4347980087877888\) \([]\) \(608256\) \(1.6835\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148.b1 has rank \(0\).

Complex multiplication

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

Modular form 71148.2.a.b

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