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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 3300.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3300.i1 | 3300i1 | \([0, -1, 0, 292, -2088]\) | \(27440/33\) | \(-3300000000\) | \([]\) | \(2880\) | \(0.51263\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3300.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3300.i do not have complex multiplication.Modular form 3300.2.a.i
sage: E.q_eigenform(10)