Properties

Label 3330.t
Number of curves $1$
Conductor $3330$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 3330.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3330.t1 3330p1 \([1, -1, 1, 103, 121]\) \(4516672077/2960000\) \(-79920000\) \([]\) \(896\) \(0.20522\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3330.t1 has rank \(1\).

Complex multiplication

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

Modular form 3330.2.a.t

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