Properties

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

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Show commands: SageMath
E = EllipticCurve("ev1")
 
E.isogeny_class()
 

Elliptic curves in class 177450.ev

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177450.ev1 177450gy1 \([1, 0, 1, -18126, 656398]\) \(249395415529/73513818\) \(194122425656250\) \([]\) \(806400\) \(1.4474\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177450.ev1 has rank \(1\).

Complex multiplication

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

Modular form 177450.2.a.ev

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} + q^{9} + 3 q^{11} + q^{12} - q^{14} + q^{16} + 5 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display