Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 3300.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3300.d1 3300f1 \([0, -1, 0, 6667, 129537]\) \(327680000/264627\) \(-26462700000000\) \([]\) \(5040\) \(1.2634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3300.d1 has rank \(1\).

Complex multiplication

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

Modular form 3300.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - q^{11} - q^{13} + 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display