Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("ba1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.ba1 51600bm1 \([0, -1, 0, 4167, -303588]\) \(51200000/282123\) \(-44081718750000\) \([]\) \(103680\) \(1.3001\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.ba1 has rank \(0\).

Complex multiplication

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

Modular form 51600.2.a.ba

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