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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 23826b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23826.e1 | 23826b1 | \([1, 1, 0, -218773, 39317221]\) | \(-3588604291/2376\) | \(-766705969922904\) | \([]\) | \(136800\) | \(1.7952\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23826b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23826b do not have complex multiplication.Modular form 23826.2.a.b
sage: E.q_eigenform(10)