Properties

Label 176400fr
Number of curves $1$
Conductor $176400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fr1")
 
E.isogeny_class()
 

Elliptic curves in class 176400fr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.my1 176400fr1 \([0, 0, 0, -25200, 2646000]\) \(-110592/125\) \(-2000376000000000\) \([]\) \(645120\) \(1.6304\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400fr1 has rank \(0\).

Complex multiplication

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

Modular form 176400.2.a.fr

sage: E.q_eigenform(10)
 
\(q + q^{11} + 3 q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display