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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 122247i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122247.u1 | 122247i1 | \([0, 0, 1, -32079, -838895]\) | \(207474688/102789\) | \(1808704826776989\) | \([]\) | \(1032192\) | \(1.6206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122247i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122247i do not have complex multiplication.Modular form 122247.2.a.i
sage: E.q_eigenform(10)