Properties

Label 15456.g
Number of curves $1$
Conductor $15456$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 15456.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15456.g1 15456n1 \([0, -1, 0, 0, 24]\) \(-8/483\) \(-247296\) \([]\) \(1728\) \(-0.28625\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15456.g1 has rank \(0\).

Complex multiplication

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

Modular form 15456.2.a.g

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