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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 508032.ba
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 508032.ba1 | \([0, 0, 0, -441, -6174]\) | \(-864\) | \(-10978063488\) | \([]\) | \(311040\) | \(0.62076\) |
Rank
sage: E.rank()
The elliptic curve 508032.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 508032.ba do not have complex multiplication.Modular form 508032.2.a.ba
sage: E.q_eigenform(10)