Properties

Label 177744l
Number of curves $1$
Conductor $177744$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 177744l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177744.cm1 177744l1 \([0, 1, 0, -5205536, -4588646412]\) \(-25727239787761/101406816\) \(-61488530051970760704\) \([]\) \(4561920\) \(2.6547\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177744l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177744l do not have complex multiplication.

Modular form 177744.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} - q^{13} - q^{15} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display