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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 28392i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28392.u1 | 28392i1 | \([0, -1, 0, -54126024, -171491539428]\) | \(-20994006260678308/3063651608241\) | \(-2559093488930038243083264\) | \([]\) | \(5990400\) | \(3.4138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28392i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28392i do not have complex multiplication.Modular form 28392.2.a.i
sage: E.q_eigenform(10)