Properties

Label 35322.e
Number of curves $1$
Conductor $35322$
CM no
Rank $0$

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

Elliptic curves in class 35322.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35322.e1 35322g1 \([1, 1, 0, -220, -2096]\) \(-48627125/43008\) \(-1048922112\) \([]\) \(17248\) \(0.42805\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35322.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 35322.e do not have complex multiplication.

Modular form 35322.2.a.e

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