Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 122010.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122010.x1 | 122010w1 | \([1, 0, 1, -4338, -92564]\) | \(1565539801/268920\) | \(1550270284920\) | \([]\) | \(249984\) | \(1.0595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122010.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122010.x do not have complex multiplication.Modular form 122010.2.a.x
sage: E.q_eigenform(10)