Properties

Label 34914.h
Number of curves $1$
Conductor $34914$
CM no
Rank $0$

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

Elliptic curves in class 34914.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
34914.h1 34914b1 \([1, 1, 0, -15087, -709677]\) \(2565726409/40986\) \(6067398946554\) \([]\) \(101376\) \(1.2529\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 34914.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 34914.h do not have complex multiplication.

Modular form 34914.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + 3 q^{7} - q^{8} + q^{9} - q^{10} - q^{11} - q^{12} + q^{13} - 3 q^{14} - q^{15} + q^{16} - 3 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display