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SageMath
E = EllipticCurve("bat1")
E.isogeny_class()
Elliptic curves in class 235200.bat
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235200.bat1 | 235200bat1 | \([0, 1, 0, 817, -14337]\) | \(12800/27\) | \(-127060920000\) | \([]\) | \(217728\) | \(0.81497\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.bat1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200.bat do not have complex multiplication.Modular form 235200.2.a.bat
sage: E.q_eigenform(10)