Properties

Label 176400.en
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("en1")
 
E.isogeny_class()
 

Elliptic curves in class 176400.en

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.en1 176400u1 \([0, 0, 0, -1110529875, 14254318111250]\) \(-1103770289367265/891813888\) \(-122379868524301516800000000\) \([]\) \(105062400\) \(3.9354\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.en1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176400.en do not have complex multiplication.

Modular form 176400.2.a.en

sage: E.q_eigenform(10)
 
\(q - 2 q^{11} - 7 q^{13} - 7 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display