Properties

Label 352800dt
Number of curves $1$
Conductor $352800$
CM no
Rank $2$

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

Elliptic curves in class 352800dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352800.dt1 352800dt1 \([0, 0, 0, -147000, 21854000]\) \(-3136000/27\) \(-3024568512000000\) \([]\) \(1990656\) \(1.7955\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352800dt1 has rank \(2\).

Complex multiplication

The elliptic curves in class 352800dt do not have complex multiplication.

Modular form 352800.2.a.dt

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