Properties

Label 71148d
Number of curves $1$
Conductor $71148$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 71148d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.a1 71148d1 \([0, -1, 0, 180, 2136]\) \(784/3\) \(-2454321408\) \([]\) \(55296\) \(0.48454\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148d1 has rank \(2\).

Complex multiplication

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

Modular form 71148.2.a.d

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