Properties

Label 121275.be
Number of curves $1$
Conductor $121275$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 121275.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.be1 121275bv1 \([1, -1, 1, 295, 3322]\) \(4725/11\) \(-6630710625\) \([]\) \(55296\) \(0.56860\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121275.be do not have complex multiplication.

Modular form 121275.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + 3 q^{8} - q^{11} - 4 q^{13} - q^{16} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display