Properties

Label 3330.b
Number of curves $1$
Conductor $3330$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3330.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3330.b1 3330e1 \([1, -1, 0, -1170, -15404]\) \(-243087455521/5328000\) \(-3884112000\) \([]\) \(2688\) \(0.62920\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3330.b1 has rank \(0\).

Complex multiplication

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

Modular form 3330.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 3q^{7} - q^{8} + q^{10} + 5q^{11} - 2q^{13} + 3q^{14} + q^{16} - 3q^{17} - 6q^{19} + O(q^{20})\)  Toggle raw display