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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 33488i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33488.l1 | 33488i1 | \([0, -1, 0, -1097, -20699]\) | \(-570820369408/418447211\) | \(-107122486016\) | \([]\) | \(28160\) | \(0.81592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33488i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33488i do not have complex multiplication.Modular form 33488.2.a.i
sage: E.q_eigenform(10)