Properties

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

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Show commands: SageMath
E = EllipticCurve("mu1")
 
E.isogeny_class()
 

Elliptic curves in class 176400.mu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.mu1 176400mj1 \([0, 0, 0, 55125, 11576250]\) \(270\) \(-68612896800000000\) \([]\) \(1209600\) \(1.9135\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.mu1 has rank \(0\).

Complex multiplication

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

Modular form 176400.2.a.mu

sage: E.q_eigenform(10)
 
\(q + q^{11} - 4 q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display