Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 177600.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177600.r1 177600hd1 \([0, -1, 0, 7167, -626463]\) \(636056/2997\) \(-191808000000000\) \([]\) \(716800\) \(1.4230\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177600.r1 has rank \(1\).

Complex multiplication

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

Modular form 177600.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - 5 q^{11} + 4 q^{13} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display