Properties

Label 51600.de
Number of curves $1$
Conductor $51600$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("de1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.de

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.de1 51600dc1 \([0, 1, 0, 6867, 91863]\) \(8951619584/6046875\) \(-24187500000000\) \([]\) \(110592\) \(1.2568\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.de1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51600.de do not have complex multiplication.

Modular form 51600.2.a.de

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