Properties

Label 11310.l
Number of curves $1$
Conductor $11310$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 11310.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11310.l1 11310l1 \([1, 0, 0, 875, -15625]\) \(74082708125999/149327343750\) \(-149327343750\) \([]\) \(14976\) \(0.82856\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11310.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11310.l do not have complex multiplication.

Modular form 11310.2.a.l

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