Properties

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

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Show commands: SageMath
E = EllipticCurve("sh1")
 
E.isogeny_class()
 

Elliptic curves in class 176400.sh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.sh1 176400my1 \([0, 0, 0, -180075, 15966650]\) \(2450\) \(263583304346880000\) \([]\) \(1645056\) \(2.0404\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.sh1 has rank \(0\).

Complex multiplication

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

Modular form 176400.2.a.sh

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