Properties

Label 1102.a
Number of curves $1$
Conductor $1102$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 1102.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1102.a1 1102a1 \([1, 1, 0, -29, 61]\) \(-2845178713/670016\) \(-670016\) \([]\) \(288\) \(-0.16294\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1102.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1102.a do not have complex multiplication.

Modular form 1102.2.a.a

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