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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 36414i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 36414.t1 | 36414i1 | \([1, -1, 0, -2200245, -2030477131]\) | \(-207084606048940707/193434623148032\) | \(-1100330995665164304384\) | \([]\) | \(1382400\) | \(2.7340\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414i do not have complex multiplication.Modular form 36414.2.a.i
sage: E.q_eigenform(10)