Properties

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

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Show commands: SageMath
E = EllipticCurve("dt1")
 
E.isogeny_class()
 

Elliptic curves in class 162450.dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162450.dt1 162450e1 \([1, -1, 1, 3206695, -10534591303]\) \(272199695/3735552\) \(-50045375825740800000000\) \([]\) \(11059200\) \(3.0363\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162450.dt1 has rank \(1\).

Complex multiplication

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

Modular form 162450.2.a.dt

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{8} - q^{11} + 4 q^{13} + q^{16} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display