Properties

Label 15600.ba
Number of curves $1$
Conductor $15600$
CM no
Rank $1$

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

Elliptic curves in class 15600.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.ba1 15600bt1 \([0, -1, 0, -1515333, 730668537]\) \(-769623354048512/15247889631\) \(-7623944815500000000\) \([]\) \(336000\) \(2.4160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15600.ba do not have complex multiplication.

Modular form 15600.2.a.ba

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