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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 32200.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32200.i1 | 32200z1 | \([0, -1, 0, -3473, 197317]\) | \(-144814859264/435654247\) | \(-13940935904000\) | \([]\) | \(51968\) | \(1.2089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32200.i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 32200.i do not have complex multiplication.Modular form 32200.2.a.i
sage: E.q_eigenform(10)