Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 57150.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57150.j1 57150s1 \([1, -1, 0, -1242, 24916]\) \(-18609625/12192\) \(-138874500000\) \([]\) \(69120\) \(0.83908\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57150.j1 has rank \(1\).

Complex multiplication

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

Modular form 57150.2.a.j

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