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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 230640.di
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 230640.di1 | 230640di1 | \([0, 1, 0, -1575502160, -24070554473100]\) | \(-237947203935023980322/588515625\) | \(-1069690436635680000000\) | \([]\) | \(70963200\) | \(3.7005\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230640.di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230640.di do not have complex multiplication.Modular form 230640.2.a.di
sage: E.q_eigenform(10)