Properties

Label 1456.g
Number of curves $1$
Conductor $1456$
CM no
Rank $1$

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

Elliptic curves in class 1456.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1456.g1 1456j1 \([0, 0, 0, 16, -16]\) \(110592/91\) \(-372736\) \([]\) \(160\) \(-0.24318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1456.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1456.g do not have complex multiplication.

Modular form 1456.2.a.g

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