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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 23400bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23400.j1 | 23400bd1 | \([0, 0, 0, -2700, -121500]\) | \(-27648/65\) | \(-5117580000000\) | \([]\) | \(46080\) | \(1.1269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23400bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23400bd do not have complex multiplication.Modular form 23400.2.a.bd
sage: E.q_eigenform(10)