Properties

Label 56400.ce
Number of curves $1$
Conductor $56400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 56400.ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56400.ce1 56400da1 \([0, 1, 0, -4933, -52237]\) \(207474688/102789\) \(6578496000000\) \([]\) \(120960\) \(1.1526\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56400.ce1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56400.ce do not have complex multiplication.

Modular form 56400.2.a.ce

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