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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 223146dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
223146.bb1 | 223146dn1 | \([1, -1, 0, -5742, -178200]\) | \(-244140625/21252\) | \(-1822701603492\) | \([]\) | \(356352\) | \(1.0968\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 223146dn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 223146dn do not have complex multiplication.Modular form 223146.2.a.dn
sage: E.q_eigenform(10)