Properties

Label 57330.l
Number of curves $1$
Conductor $57330$
CM no
Rank $0$

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

Elliptic curves in class 57330.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57330.l1 57330bm1 \([1, -1, 0, -374700510, 2792197807636]\) \(-28253264609835195889/4297784624640\) \(-885018963073301985277440\) \([]\) \(16450560\) \(3.6075\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57330.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 57330.l do not have complex multiplication.

Modular form 57330.2.a.l

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