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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 18928i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 18928.q1 | 18928i1 | \([0, 0, 0, -2327, -43342]\) | \(-32209663824/117649\) | \(-5089966336\) | \([]\) | \(10368\) | \(0.72339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18928i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18928i do not have complex multiplication.Modular form 18928.2.a.i
sage: E.q_eigenform(10)