Properties

Label 176400nl
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("nl1")
 
E.isogeny_class()
 

Elliptic curves in class 176400nl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.rq1 176400nl1 \([0, 0, 0, -3675, -46550]\) \(2450\) \(2240421120000\) \([]\) \(235008\) \(1.0674\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400nl1 has rank \(1\).

Complex multiplication

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

Modular form 176400.2.a.nl

sage: E.q_eigenform(10)
 
\(q + 4 q^{11} - 2 q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display