Properties

Label 121275.bc
Number of curves $1$
Conductor $121275$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 121275.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.bc1 121275ga1 \([1, -1, 1, 96790, 27142742]\) \(3895843/14641\) \(-376867495990495125\) \([]\) \(1370880\) \(2.0554\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275.bc1 has rank \(0\).

Complex multiplication

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

Modular form 121275.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + 3 q^{8} - q^{11} - 6 q^{13} - q^{16} - 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display