Properties

Label 5915.h
Number of curves $1$
Conductor $5915$
CM no
Rank $0$

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

Elliptic curves in class 5915.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5915.h1 5915g1 \([1, 0, 1, -368, -2819]\) \(-32485001809/1071875\) \(-181146875\) \([]\) \(2160\) \(0.35933\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5915.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5915.h do not have complex multiplication.

Modular form 5915.2.a.h

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