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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 222768j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222768.i1 | 222768j1 | \([0, 0, 0, -2064, -527056]\) | \(-325660672/40000779\) | \(-119441686081536\) | \([]\) | \(706560\) | \(1.3806\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222768j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 222768j do not have complex multiplication.Modular form 222768.2.a.j
sage: E.q_eigenform(10)