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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 74800bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74800.ct1 | 74800bw1 | \([0, 1, 0, 1992, 43988]\) | \(13651919/20570\) | \(-1316480000000\) | \([]\) | \(73728\) | \(1.0109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74800bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74800bw do not have complex multiplication.Modular form 74800.2.a.bw
sage: E.q_eigenform(10)