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SageMath
E = EllipticCurve("eo1")
E.isogeny_class()
Elliptic curves in class 22050.eo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.eo1 | 22050dq1 | \([1, -1, 1, -397130, 97555497]\) | \(-105484561/1440\) | \(-94557148402500000\) | \([]\) | \(322560\) | \(2.0642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050.eo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22050.eo do not have complex multiplication.Modular form 22050.2.a.eo
sage: E.q_eigenform(10)