Properties

Label 63162.bc
Number of curves $1$
Conductor $63162$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 63162.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63162.bc1 63162x1 \([1, -1, 0, -1293, 26153]\) \(-185193/116\) \(-149810284404\) \([]\) \(80080\) \(0.84603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63162.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 63162.bc do not have complex multiplication.

Modular form 63162.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} + 2 q^{7} - q^{8} - 3 q^{10} - 3 q^{13} - 2 q^{14} + q^{16} - 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display