Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 71148u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.n1 71148u1 \([0, -1, 0, -179846, -40537671]\) \(-562432/297\) \(-339715140512744304\) \([]\) \(967680\) \(2.0681\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148u1 has rank \(2\).

Complex multiplication

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

Modular form 71148.2.a.u

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