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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 160446bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.m1 | 160446bd1 | \([1, 0, 1, 195, 894760]\) | \(6827155247/2858225746896\) | \(-345845315374416\) | \([]\) | \(806400\) | \(1.4686\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446bd do not have complex multiplication.Modular form 160446.2.a.bd
sage: E.q_eigenform(10)