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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 26198a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26198.a1 | 26198a1 | \([1, -1, 0, -16, 16]\) | \(469097433/209584\) | \(209584\) | \([]\) | \(12704\) | \(-0.28346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26198a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 26198a do not have complex multiplication.Modular form 26198.2.a.a
sage: E.q_eigenform(10)