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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 190400.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190400.ba1 | 190400i1 | \([0, 1, 0, -33, -1187]\) | \(-4096/595\) | \(-595000000\) | \([]\) | \(53760\) | \(0.36307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190400.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190400.ba do not have complex multiplication.Modular form 190400.2.a.ba
sage: E.q_eigenform(10)