Properties

Label 177600.bc
Number of curves $1$
Conductor $177600$
CM no
Rank $0$

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

Elliptic curves in class 177600.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177600.bc1 177600ih1 \([0, -1, 0, 323967, -36936063]\) \(918046641959/674325000\) \(-2762035200000000000\) \([]\) \(3317760\) \(2.2268\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177600.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 177600.bc do not have complex multiplication.

Modular form 177600.2.a.bc

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