Properties

Label 235340.b
Number of curves $1$
Conductor $235340$
CM no
Rank $1$

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

Elliptic curves in class 235340.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235340.b1 235340b1 \([0, 0, 0, 53792, 14611252]\) \(14155776/84035\) \(-102188802532463360\) \([]\) \(4195200\) \(1.9457\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235340.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 235340.b do not have complex multiplication.

Modular form 235340.2.a.b

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