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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 112710e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 112710.g1 | 112710e1 | \([1, 1, 0, -26314408763, 1642993826673117]\) | \(-83485496408692606522088834521/64803530931750000000\) | \(-1564199699308749915750000000\) | \([]\) | \(243855360\) | \(4.5255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710e do not have complex multiplication.Modular form 112710.2.a.e
sage: E.q_eigenform(10)