Properties

Label 101478.h
Number of curves $1$
Conductor $101478$
CM no
Rank $2$

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

Elliptic curves in class 101478.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101478.h1 101478i1 \([1, 0, 0, -1582, 24116]\) \(-437885240681953/591819696\) \(-591819696\) \([]\) \(107520\) \(0.58865\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101478.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 101478.h do not have complex multiplication.

Modular form 101478.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3 q^{5} + q^{6} - 3 q^{7} + q^{8} + q^{9} - 3 q^{10} - 3 q^{11} + q^{12} - q^{13} - 3 q^{14} - 3 q^{15} + q^{16} + 4 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display