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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 33800i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.d1 | 33800i1 | \([0, 1, 0, 45912, -9569312]\) | \(86614940/371293\) | \(-45879306087347200\) | \([]\) | \(241920\) | \(1.8796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33800i do not have complex multiplication.Modular form 33800.2.a.i
sage: E.q_eigenform(10)