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SageMath
sage: E = EllipticCurve("mp1")
sage: E.isogeny_class()
Elliptic curves in class 369600.mp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 369600.mp1 | 369600mp1 | \([0, 1, 0, 124917, 396963]\) | \(1724546303488/998437671\) | \(-124804708875000000\) | \([]\) | \(3225600\) | \(1.9699\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.mp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.mp do not have complex multiplication.Modular form 369600.2.a.mp
sage: E.q_eigenform(10)