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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 1200.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1200.i1 | 1200d1 | \([0, -1, 0, -233, -1563]\) | \(-8780800/2187\) | \(-349920000\) | \([]\) | \(672\) | \(0.35738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1200.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1200.i do not have complex multiplication.Modular form 1200.2.a.i
sage: E.q_eigenform(10)