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SageMath
E = EllipticCurve("mk1")
E.isogeny_class()
Elliptic curves in class 446400.mk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 446400.mk1 | 446400mk1 | \([0, 0, 0, -149770778700, 23118580917434000]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-15879238096287272112488448000000000\) | \([]\) | \(3357573120\) | \(5.3286\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 446400.mk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 446400.mk do not have complex multiplication.Modular form 446400.2.a.mk
sage: E.q_eigenform(10)