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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 117600di
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 117600.ib1 | 117600di1 | \([0, 1, 0, -20008, -76727512]\) | \(-392/1125\) | \(-2542277241000000000\) | \([]\) | \(2128896\) | \(2.2106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600di1 has rank \(1\).
Complex multiplication
The elliptic curves in class 117600di do not have complex multiplication.Modular form 117600.2.a.di
sage: E.q_eigenform(10)