Properties

Label 43350u
Number of curves $1$
Conductor $43350$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 43350u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.m1 43350u1 \([1, 1, 0, 4132550, 212276500]\) \(1982251/1152\) \(-4535986276010250000000\) \([]\) \(3769920\) \(2.8450\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 43350u do not have complex multiplication.

Modular form 43350.2.a.u

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