Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 177600.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177600.a1 177600dc1 \([0, -1, 0, -449633, -152452863]\) \(-2454365649169/1035763200\) \(-4242486067200000000\) \([]\) \(4644864\) \(2.2821\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177600.a1 has rank \(0\).

Complex multiplication

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

Modular form 177600.2.a.a

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