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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 46800.dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.dn1 | 46800ds1 | \([0, 0, 0, 285, 17890]\) | \(34295/1872\) | \(-139744051200\) | \([]\) | \(36864\) | \(0.81827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46800.dn do not have complex multiplication.Modular form 46800.2.a.dn
sage: E.q_eigenform(10)