Properties

Label 36225bs
Number of curves $1$
Conductor $36225$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 36225bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36225.cj1 36225bs1 \([0, 0, 1, -21675, 1433281]\) \(-98867482624/20696067\) \(-235741138171875\) \([]\) \(192000\) \(1.4795\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36225bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 36225bs do not have complex multiplication.

Modular form 36225.2.a.bs

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{7} + 5 q^{11} + 2 q^{13} + 2 q^{14} - 4 q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display