Properties

Label 57960b
Number of curves $1$
Conductor $57960$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 57960b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57960.r1 57960b1 \([0, 0, 0, 2172, 48452]\) \(163945479168/241600625\) \(-1669943520000\) \([]\) \(76800\) \(1.0308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57960b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 57960b do not have complex multiplication.

Modular form 57960.2.a.b

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