Properties

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

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 177600cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177600.w1 177600cl1 \([0, -1, 0, 3467, 40237]\) \(449945600/332667\) \(-3406510080000\) \([]\) \(322560\) \(1.0930\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177600cl1 has rank \(0\).

Complex multiplication

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

Modular form 177600.2.a.cl

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 5 q^{13} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display