Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 121275.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.l1 121275ca1 \([0, 0, 1, -36015, -2626094]\) \(5419008/11\) \(10486893619125\) \([]\) \(408576\) \(1.3851\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275.l1 has rank \(1\).

Complex multiplication

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

Modular form 121275.2.a.l

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{11} + 3 q^{13} - 4 q^{16} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display