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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 212160.di
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 212160.di1 | 212160gt1 | \([0, -1, 0, -79905, -18042975]\) | \(-430468214044178/827032912875\) | \(-108400857956352000\) | \([]\) | \(2433024\) | \(1.9584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160.di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212160.di do not have complex multiplication.Modular form 212160.2.a.di
sage: E.q_eigenform(10)