Properties

Label 3450.bb
Number of curves $1$
Conductor $3450$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3450.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3450.bb1 3450z1 \([1, 0, 0, -638, 4392]\) \(2941225/828\) \(8085937500\) \([]\) \(4800\) \(0.60808\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3450.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3450.bb do not have complex multiplication.

Modular form 3450.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + 5q^{7} + q^{8} + q^{9} - 3q^{11} + q^{12} + 5q^{13} + 5q^{14} + q^{16} + 6q^{17} + q^{18} - q^{19} + O(q^{20})\)  Toggle raw display