Properties

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

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Show commands: SageMath
E = EllipticCurve("rc1")
 
E.isogeny_class()
 

Elliptic curves in class 176400rc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.jz1 176400rc1 \([0, 0, 0, -662970, -212257465]\) \(-46028377077760/1162261467\) \(-813735980509057200\) \([]\) \(1751040\) \(2.2208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400rc1 has rank \(0\).

Complex multiplication

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

Modular form 176400.2.a.rc

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