Properties

Label 177600ha
Number of curves $1$
Conductor $177600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("ha1")
 
E.isogeny_class()
 

Elliptic curves in class 177600ha

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177600.b1 177600ha1 \([0, -1, 0, -11713, 3112897]\) \(-5423945093/124291584\) \(-4072786624512000\) \([]\) \(1327104\) \(1.6760\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177600ha1 has rank \(2\).

Complex multiplication

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

Modular form 177600.2.a.ha

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - q^{11} - 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display