Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("dj1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.dj1 51600bh1 \([0, 1, 0, -83, -2412]\) \(-10240/387\) \(-2418750000\) \([]\) \(32640\) \(0.48074\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.dj1 has rank \(0\).

Complex multiplication

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

Modular form 51600.2.a.dj

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