Properties

Label 336600dr
Number of curves $1$
Conductor $336600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 336600dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
336600.dr1 336600dr1 \([0, 0, 0, -660540, 206632420]\) \(-6831460729492480/30318123\) \(-141452234668800\) \([]\) \(2506752\) \(1.9207\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 336600dr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 336600dr do not have complex multiplication.

Modular form 336600.2.a.dr

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