Properties

Label 247962.c
Number of curves $1$
Conductor $247962$
CM no
Rank $0$

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

Elliptic curves in class 247962.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
247962.c1 247962c1 \([1, 1, 0, -138216474, -610466208984]\) \(1010427838681505646320034697/27774212930510449210236\) \(8026747536917519821758204\) \([]\) \(132789888\) \(3.5585\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 247962.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 247962.c do not have complex multiplication.

Modular form 247962.2.a.c

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