Properties

Label 43350e
Number of curves $1$
Conductor $43350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 43350e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.n1 43350e1 \([1, 1, 0, -83564500, 293997394000]\) \(-2048707405729/76800\) \(-2419192680538800000000\) \([]\) \(6462720\) \(3.1896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350e1 has rank \(1\).

Complex multiplication

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

Modular form 43350.2.a.e

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