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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 1210i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 1210.h1 | 1210i1 | \([1, -1, 1, 582, 4887]\) | \(9261/10\) | \(-23579476910\) | \([]\) | \(2640\) | \(0.67692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1210i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1210i do not have complex multiplication.Modular form 1210.2.a.i
sage: E.q_eigenform(10)