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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 412224ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.ba1 | 412224ba1 | \([0, -1, 0, -26817, 1692513]\) | \(8136367582897/37563912\) | \(9847154147328\) | \([]\) | \(903168\) | \(1.3437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224ba1 has rank \(2\).
Complex multiplication
The elliptic curves in class 412224ba do not have complex multiplication.Modular form 412224.2.a.ba
sage: E.q_eigenform(10)