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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 22386.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22386.t1 | 22386t1 | \([1, 0, 0, -119248877, -457102142511]\) | \(187536845211756879082380654673/18269088231048308260798464\) | \(18269088231048308260798464\) | \([]\) | \(9569280\) | \(3.5844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22386.t do not have complex multiplication.Modular form 22386.2.a.t
sage: E.q_eigenform(10)