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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 296208z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296208.z1 | 296208z1 | \([0, 0, 0, -79668336, 360845834096]\) | \(-87367919423488/37321507107\) | \(-23888458747916529818185728\) | \([]\) | \(54574080\) | \(3.5773\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208z1 has rank \(2\).
Complex multiplication
The elliptic curves in class 296208z do not have complex multiplication.Modular form 296208.2.a.z
sage: E.q_eigenform(10)