Properties

Label 127995.f
Number of curves $1$
Conductor $127995$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 127995.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127995.f1 127995m1 \([1, 1, 1, 0, -30]\) \(-1/383985\) \(-383985\) \([]\) \(13632\) \(-0.24959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127995.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 127995.f do not have complex multiplication.

Modular form 127995.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} + q^{7} + 3 q^{8} + q^{9} - q^{10} + 3 q^{11} + q^{12} - 5 q^{13} - q^{14} - q^{15} - q^{16} - 2 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display