Properties

Label 142800dt
Number of curves $1$
Conductor $142800$
CM no
Rank $1$

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

Elliptic curves in class 142800dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142800.dj1 142800dt1 \([0, -1, 0, -1903940533, -31980867474563]\) \(-11926249134908509075308544/2246680441062421875\) \(-143787548227995000000000000\) \([]\) \(72576000\) \(4.0207\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142800dt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142800dt do not have complex multiplication.

Modular form 142800.2.a.dt

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - 2 q^{11} + 5 q^{13} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display