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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 489762.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
489762.bd1 | 489762bd1 | \([1, -1, 0, -5355, 1164307]\) | \(-28561/966\) | \(-574448993958294\) | \([]\) | \(2096640\) | \(1.5123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 489762.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 489762.bd do not have complex multiplication.Modular form 489762.2.a.bd
sage: E.q_eigenform(10)