Properties

Label 950c
Number of curves $1$
Conductor $950$
CM no
Rank $0$

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

Elliptic curves in class 950c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
950.c1 950c1 \([1, -1, 0, -1192, 17216]\) \(-11993263569/972800\) \(-15200000000\) \([]\) \(2112\) \(0.69994\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 950c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 950c do not have complex multiplication.

Modular form 950.2.a.c

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