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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 23826a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23826.f1 | 23826a1 | \([1, 1, 0, 49111155, -163089857349]\) | \(771321318129938375/1123100229130902\) | \(-19074243542806218758192982\) | \([]\) | \(6976800\) | \(3.5364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23826a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23826a do not have complex multiplication.Modular form 23826.2.a.a
sage: E.q_eigenform(10)