Properties

Label 57150.r
Number of curves $1$
Conductor $57150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 57150.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57150.r1 57150l1 \([1, -1, 0, -2367, -20979]\) \(80492265625/35551872\) \(647932867200\) \([]\) \(94080\) \(0.96216\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57150.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 57150.r do not have complex multiplication.

Modular form 57150.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{7} - q^{8} + q^{11} - 6 q^{13} - 2 q^{14} + q^{16} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display