Properties

Label 215950.f
Number of curves $1$
Conductor $215950$
CM no
Rank $0$

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

Elliptic curves in class 215950.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.f1 215950r1 \([1, 1, 0, -875, -612875]\) \(-4750104241/10369919000\) \(-162029984375000\) \([]\) \(803520\) \(1.4055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215950.f do not have complex multiplication.

Modular form 215950.2.a.f

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