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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 6468i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6468.i1 | 6468i1 | \([0, -1, 0, -1111434, -495652023]\) | \(-235165059164416/28529701497\) | \(-18420421792595994864\) | \([]\) | \(147840\) | \(2.4317\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6468i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6468i do not have complex multiplication.Modular form 6468.2.a.i
sage: E.q_eigenform(10)