Properties

Label 705600.dk
Number of curves $1$
Conductor $705600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("dk1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.dk

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.dk1 \([0, 0, 0, -14700, 48314000]\) \(-392/1125\) \(-1008189504000000000\) \([]\) \(9732096\) \(2.1335\)

Rank

sage: E.rank()
 

The elliptic curve 705600.dk1 has rank \(2\).

Complex multiplication

The elliptic curves in class 705600.dk do not have complex multiplication.

Modular form 705600.2.a.dk

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} + q^{13} - 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display