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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 323400.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 323400.l1 | 323400l1 | \([0, -1, 0, -45108108033, 3687894970888437]\) | \(-21569462179645467300176896/2687170946044921875\) | \(-1264571898524956054687500000000\) | \([]\) | \(1006387200\) | \(4.7988\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.l do not have complex multiplication.Modular form 323400.2.a.l
sage: E.q_eigenform(10)