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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 122694.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.r1 | 122694q1 | \([1, 1, 0, -528167, -137736243]\) | \(54424690756969/4209228936\) | \(1260217084102057224\) | \([]\) | \(2177280\) | \(2.2176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122694.r do not have complex multiplication.Modular form 122694.2.a.r
sage: E.q_eigenform(10)