Properties

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

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Show commands: SageMath
E = EllipticCurve("fm1")
 
E.isogeny_class()
 

Elliptic curves in class 121275.fm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.fm1 121275bd1 \([1, -1, 0, -5742, -902959]\) \(-675/11\) \(-341228056640625\) \([]\) \(316800\) \(1.4699\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275.fm1 has rank \(1\).

Complex multiplication

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

Modular form 121275.2.a.fm

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