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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 272734.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272734.ba1 | 272734ba1 | \([1, -1, 0, -395390, 154678068]\) | \(-271063881/252448\) | \(-6366513374053652512\) | \([]\) | \(9123840\) | \(2.3047\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272734.ba do not have complex multiplication.Modular form 272734.2.a.ba
sage: E.q_eigenform(10)