Properties

Label 5600.g
Number of curves $1$
Conductor $5600$
CM no
Rank $1$

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

Elliptic curves in class 5600.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5600.g1 5600r1 \([0, -1, 0, -7533, 254437]\) \(-738763264/875\) \(-56000000000\) \([]\) \(4608\) \(0.97394\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5600.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5600.g do not have complex multiplication.

Modular form 5600.2.a.g

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