Properties

Label 49686h
Number of curves $1$
Conductor $49686$
CM no
Rank $0$

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

Elliptic curves in class 49686h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
49686.i1 49686h1 \([1, 1, 0, -239138, -620086956]\) \(-6394640503489/698390001504\) \(-165178762093706516064\) \([]\) \(2056320\) \(2.5590\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 49686h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 49686h do not have complex multiplication.

Modular form 49686.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} + q^{11} - q^{12} + q^{15} + q^{16} + 6 q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display