Properties

Label 15456.h
Number of curves $1$
Conductor $15456$
CM no
Rank $1$

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

Elliptic curves in class 15456.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15456.h1 15456a1 \([0, -1, 0, -77, 357]\) \(-12487168/4347\) \(-17805312\) \([]\) \(4224\) \(0.10254\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15456.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15456.h do not have complex multiplication.

Modular form 15456.2.a.h

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