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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4022.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4022.a1 | 4022a1 | \([1, -1, 0, -1, -195]\) | \(-185193/16474112\) | \(-16474112\) | \([]\) | \(754\) | \(0.063664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4022.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4022.a do not have complex multiplication.Modular form 4022.2.a.a
sage: E.q_eigenform(10)