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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 438702ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 438702.ba1 | 438702ba1 | \([1, 0, 1, -135114, -19114340]\) | \(11301253512121/8816544\) | \(212809939141536\) | \([]\) | \(2419200\) | \(1.6805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 438702ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 438702ba do not have complex multiplication.Modular form 438702.2.a.ba
sage: E.q_eigenform(10)