Properties

Label 3300.j
Number of curves $1$
Conductor $3300$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 3300.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3300.j1 3300n1 \([0, 1, 0, 12, -12]\) \(27440/33\) \(-211200\) \([]\) \(576\) \(-0.29209\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3300.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3300.j do not have complex multiplication.

Modular form 3300.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} - 5 q^{7} + q^{9} + q^{11} - 4 q^{13} + 5 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display