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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 68400.dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68400.dn1 | 68400ey1 | \([0, 0, 0, 5685, -786310]\) | \(272199695/3735552\) | \(-278857462579200\) | \([]\) | \(147456\) | \(1.4525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68400.dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68400.dn do not have complex multiplication.Modular form 68400.2.a.dn
sage: E.q_eigenform(10)