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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 22386.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22386.e1 | 22386d1 | \([1, 1, 0, -52, -182]\) | \(-16022066761/1813266\) | \(-1813266\) | \([]\) | \(3200\) | \(-0.062198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22386.e do not have complex multiplication.Modular form 22386.2.a.e
sage: E.q_eigenform(10)