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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 405600.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.ba1 | 405600ba1 | \([0, -1, 0, -82950833, 291406809537]\) | \(-326938350400/767637\) | \(-148209487213320000000000\) | \([]\) | \(77414400\) | \(3.3264\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600.ba do not have complex multiplication.Modular form 405600.2.a.ba
sage: E.q_eigenform(10)