Properties

Label 38514.h
Number of curves $1$
Conductor $38514$
CM no
Rank $0$

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

Elliptic curves in class 38514.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38514.h1 38514c1 \([1, 1, 0, -809, -20103]\) \(-498677257/1145988\) \(-134824342212\) \([]\) \(60480\) \(0.82404\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38514.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38514.h do not have complex multiplication.

Modular form 38514.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 2 q^{5} + q^{6} - q^{8} + q^{9} - 2 q^{10} + 3 q^{11} - q^{12} + 5 q^{13} - 2 q^{15} + q^{16} - 7 q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display