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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 122694.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.u1 | 122694r1 | \([1, 1, 0, 14518, 1497852]\) | \(1130197991/3865224\) | \(-1157224135998216\) | \([]\) | \(691200\) | \(1.5734\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122694.u do not have complex multiplication.Modular form 122694.2.a.u
sage: E.q_eigenform(10)