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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 726i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 726.h1 | 726i1 | \([1, 0, 0, -1636, -28588]\) | \(-2259169/324\) | \(-69452277444\) | \([]\) | \(1056\) | \(0.81108\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 726i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 726i do not have complex multiplication.Modular form 726.2.a.i
sage: E.q_eigenform(10)