Properties

Label 162450.m
Number of curves $1$
Conductor $162450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 162450.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162450.m1 162450dk1 \([1, -1, 0, -17937, 953181]\) \(-268722985/8192\) \(-19456821043200\) \([]\) \(547560\) \(1.3274\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162450.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 162450.m do not have complex multiplication.

Modular form 162450.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{7} - q^{8} + 6 q^{13} + 2 q^{14} + q^{16} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display