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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 10192.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10192.ba1 | 10192s1 | \([0, 1, 0, -86, -337]\) | \(90770176/169\) | \(132496\) | \([]\) | \(1152\) | \(-0.12652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10192.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10192.ba do not have complex multiplication.Modular form 10192.2.a.ba
sage: E.q_eigenform(10)