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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 100023.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100023.b1 | 100023f1 | \([1, 0, 0, -3856, 91619]\) | \(6340767471859969/17718774381\) | \(17718774381\) | \([]\) | \(69120\) | \(0.83887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100023.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100023.b do not have complex multiplication.Modular form 100023.2.a.b
sage: E.q_eigenform(10)