Properties

Label 101150.c
Number of curves $1$
Conductor $101150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 101150.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101150.c1 101150x1 \([1, -1, 0, -292, -2384]\) \(-610929/224\) \(-1011500000\) \([]\) \(100800\) \(0.43822\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101150.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 101150.c do not have complex multiplication.

Modular form 101150.2.a.c

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