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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 23184.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23184.bd1 | 23184bt1 | \([0, 0, 0, -2280, 205756]\) | \(-7023616000/93934323\) | \(-17530399095552\) | \([]\) | \(57600\) | \(1.2229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184.bd1 has rank \(2\).
Complex multiplication
The elliptic curves in class 23184.bd do not have complex multiplication.Modular form 23184.2.a.bd
sage: E.q_eigenform(10)