Properties

Label 134310.b
Number of curves $1$
Conductor $134310$
CM no
Rank $0$

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

Elliptic curves in class 134310.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134310.b1 134310cn1 \([1, 1, 0, 5012907, -36960328467]\) \(64990673608514951/2790970315280640\) \(-598269273687775191363840\) \([]\) \(19464192\) \(3.2422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134310.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 134310.b do not have complex multiplication.

Modular form 134310.2.a.b

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