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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 221067.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221067.t1 | 221067r1 | \([0, 0, 1, -35393952, 60938173579]\) | \(31379200581566464/7893440560341\) | \(1233489203515183399308909\) | \([]\) | \(24161280\) | \(3.3326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221067.t do not have complex multiplication.Modular form 221067.2.a.t
sage: E.q_eigenform(10)