Properties

Label 42336dc
Number of curves $1$
Conductor $42336$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 42336dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42336.m1 42336dc1 \([0, 0, 0, 10584, -148176]\) \(1536\) \(-85365421682688\) \([]\) \(108864\) \(1.3620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42336dc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 42336dc do not have complex multiplication.

Modular form 42336.2.a.dc

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 2 q^{11} - q^{13} - 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display