Properties

Label 15600.bc
Number of curves $1$
Conductor $15600$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15600.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bc1 15600bb1 \([0, -1, 0, 4867, 24487137]\) \(3186827264/64769371875\) \(-259077487500000000\) \([]\) \(149760\) \(2.0202\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.bc1 has rank \(0\).

Complex multiplication

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

Modular form 15600.2.a.bc

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