Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 215950bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.p1 215950bc1 \([1, -1, 0, -292, 2366]\) \(-176558481/43190\) \(-674843750\) \([]\) \(186048\) \(0.41249\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950bc1 has rank \(0\).

Complex multiplication

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

Modular form 215950.2.a.bc

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