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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 60840.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60840.by1 | 60840e1 | \([0, 0, 0, 2537028, -40381765164]\) | \(74251994112/29007265625\) | \(-705501860716605420000000\) | \([]\) | \(6773760\) | \(3.2552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840.by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60840.by do not have complex multiplication.Modular form 60840.2.a.by
sage: E.q_eigenform(10)