Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 121275.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.m1 121275dn1 \([0, 0, 1, -3399375, -2087208594]\) \(5186867200/754677\) \(632087098612470703125\) \([]\) \(7741440\) \(2.7164\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275.m1 has rank \(1\).

Complex multiplication

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

Modular form 121275.2.a.m

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{11} + 3 q^{13} - 4 q^{16} + q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display