Properties

Label 3330d
Number of curves $1$
Conductor $3330$
CM no
Rank $1$

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

Elliptic curves in class 3330d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3330.g1 3330d1 \([1, -1, 0, -560994, 164964500]\) \(-991990479802737267/22190066240000\) \(-436767073801920000\) \([]\) \(51840\) \(2.1733\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3330d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3330d do not have complex multiplication.

Modular form 3330.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - 3 q^{7} - q^{8} - q^{10} + q^{11} + q^{13} + 3 q^{14} + q^{16} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display