Properties

Label 11858b
Number of curves $1$
Conductor $11858$
CM no
Rank $0$

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

Elliptic curves in class 11858b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11858.l1 11858b1 \([1, -1, 0, -4076, -21400]\) \(14553/8\) \(4117405386248\) \([]\) \(19008\) \(1.1112\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11858b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11858b do not have complex multiplication.

Modular form 11858.2.a.b

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