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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 405600eg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.eg1 | 405600eg1 | \([0, 1, 0, 2232, -964872]\) | \(43709080/14348907\) | \(-403514223091200\) | \([]\) | \(1762560\) | \(1.4817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600eg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600eg do not have complex multiplication.Modular form 405600.2.a.eg
sage: E.q_eigenform(10)