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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 323400k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 323400.k1 | 323400k1 | \([0, -1, 0, -941888208, -11142780027588]\) | \(-1963692857508260740/3452093881137\) | \(-162454157208754765200000000\) | \([]\) | \(121968000\) | \(3.9227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 323400k do not have complex multiplication.Modular form 323400.2.a.k
sage: E.q_eigenform(10)