Properties

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

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Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 57330.cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57330.cv1 57330cz1 \([1, -1, 0, -130104, 18272848]\) \(-1182740881/13520\) \(-2784098652163920\) \([]\) \(524160\) \(1.7773\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57330.cv1 has rank \(1\).

Complex multiplication

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

Modular form 57330.2.a.cv

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