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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 23400bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23400.i1 | 23400bu1 | \([0, 0, 0, 61125, 14723750]\) | \(86614940/371293\) | \(-108269038800000000\) | \([]\) | \(172800\) | \(1.9512\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23400bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23400bu do not have complex multiplication.Modular form 23400.2.a.bu
sage: E.q_eigenform(10)