Properties

Label 107242b
Number of curves $1$
Conductor $107242$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 107242b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
107242.b1 107242b1 \([1, -1, 1, -2196, -56597]\) \(-185193/116\) \(-733278113684\) \([]\) \(317016\) \(0.97837\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 107242b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 107242b do not have complex multiplication.

Modular form 107242.2.a.b

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3 q^{3} + q^{4} + 3 q^{5} + 3 q^{6} + 2 q^{7} + q^{8} + 6 q^{9} + 3 q^{10} - q^{11} + 3 q^{12} + 3 q^{13} + 2 q^{14} + 9 q^{15} + q^{16} - 4 q^{17} + 6 q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display