Properties

Label 438244.b
Number of curves $1$
Conductor $438244$
CM no
Rank $1$

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

Elliptic curves in class 438244.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
438244.b1 438244b1 \([0, -1, 0, 292163, -111577734]\) \(131072/331\) \(-6964916899371747376\) \([]\) \(11832480\) \(2.2994\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 438244.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 438244.b do not have complex multiplication.

Modular form 438244.2.a.b

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