Properties

Label 5355.l
Number of curves $1$
Conductor $5355$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 5355.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5355.l1 5355n1 \([0, 0, 1, -42838662, -107937569660]\) \(-11926249134908509075308544/2246680441062421875\) \(-1637830041534505546875\) \([]\) \(336000\) \(3.0722\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5355.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5355.l do not have complex multiplication.

Modular form 5355.2.a.l

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