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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 33327.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33327.i1 | 33327j1 | \([1, -1, 1, -435731, -109982266]\) | \(160261033/1029\) | \(58744280809674621\) | \([]\) | \(317952\) | \(2.0543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33327.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33327.i do not have complex multiplication.Modular form 33327.2.a.i
sage: E.q_eigenform(10)