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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 190575.dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.dn1 | 190575dm1 | \([1, -1, 0, 81108, 5330551]\) | \(15104375/11907\) | \(-46516965048321075\) | \([]\) | \(1520640\) | \(1.8862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.dn1 has rank \(2\).
Complex multiplication
The elliptic curves in class 190575.dn do not have complex multiplication.Modular form 190575.2.a.dn
sage: E.q_eigenform(10)