Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 5600.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5600.b1 5600c1 \([0, 0, 0, 200, -2000]\) \(13824/35\) \(-2240000000\) \([]\) \(4608\) \(0.47793\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5600.b1 has rank \(1\).

Complex multiplication

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

Modular form 5600.2.a.b

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