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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 88725.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.ba1 | 88725bc1 | \([0, -1, 1, -29293, -3196737]\) | \(-27262976/27783\) | \(-2832930827692875\) | \([]\) | \(539136\) | \(1.6605\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88725.ba do not have complex multiplication.Modular form 88725.2.a.ba
sage: E.q_eigenform(10)