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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 85176bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85176.v1 | 85176bm1 | \([0, 0, 0, 1435317, -824494554]\) | \(1225217998314/1809323971\) | \(-482914412815852652544\) | \([]\) | \(2257920\) | \(2.6543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85176bm do not have complex multiplication.Modular form 85176.2.a.bm
sage: E.q_eigenform(10)