Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 3450.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3450.h1 3450k1 \([1, 0, 1, -71, 218]\) \(1551443665/29808\) \(745200\) \([]\) \(768\) \(-0.080201\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3450.h1 has rank \(1\).

Complex multiplication

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

Modular form 3450.2.a.h

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