Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 71148.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.h1 71148l1 \([0, -1, 0, 1258, 74901]\) \(256/3\) \(-2578111244016\) \([]\) \(145152\) \(1.0624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148.h1 has rank \(1\).

Complex multiplication

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

Modular form 71148.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} + 5 q^{13} + 3 q^{15} - 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display