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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 22320.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22320.e1 | 22320bs1 | \([0, 0, 0, 14037, 351322]\) | \(102437538839/77137920\) | \(-230332594913280\) | \([]\) | \(84480\) | \(1.4440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22320.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22320.e do not have complex multiplication.Modular form 22320.2.a.e
sage: E.q_eigenform(10)