Properties

Label 177450.l
Number of curves $1$
Conductor $177450$
CM no
Rank $0$

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

Elliptic curves in class 177450.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177450.l1 177450id1 \([1, 1, 0, -783825, -845152875]\) \(-167137945/870912\) \(-277511591284200000000\) \([]\) \(7581600\) \(2.6069\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177450.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 177450.l do not have complex multiplication.

Modular form 177450.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - 2 q^{11} - q^{12} + q^{14} + q^{16} - 6 q^{17} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display