Properties

Label 352.e
Number of curves $1$
Conductor $352$
CM no
Rank $0$

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

Elliptic curves in class 352.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352.e1 352a1 \([0, 1, 0, -45, -133]\) \(-2515456/11\) \(-45056\) \([]\) \(32\) \(-0.25392\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 352.e do not have complex multiplication.

Modular form 352.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 4 q^{7} - 2 q^{9} + q^{11} - 2 q^{13} + q^{15} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display