Properties

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

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

Elliptic curves in class 3300b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3300.a1 3300b1 \([0, -1, 0, -7708, -286088]\) \(-20261200/2673\) \(-6682500000000\) \([]\) \(7200\) \(1.1938\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3300b1 has rank \(0\).

Complex multiplication

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

Modular form 3300.2.a.b

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