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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 116610d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 116610.h1 | 116610d1 | \([1, 1, 0, 12894697, 7535026803]\) | \(1719980649806159/1173023511750\) | \(-161711252233272730725750\) | \([]\) | \(15949440\) | \(3.1420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116610d do not have complex multiplication.Modular form 116610.2.a.d
sage: E.q_eigenform(10)