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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 182070dn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 182070.p1 | 182070dn1 | \([1, -1, 0, -1890, 48276]\) | \(-3544973569/2634240\) | \(-554984317440\) | \([]\) | \(279936\) | \(0.95282\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182070dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 182070dn do not have complex multiplication.Modular form 182070.2.a.dn
sage: E.q_eigenform(10)