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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 303450.dn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 303450.dn1 | 303450dn1 | \([1, 1, 1, 42987, 7631031]\) | \(77817381935/266827932\) | \(-30122372010937500\) | \([]\) | \(3386880\) | \(1.8450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.dn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.dn do not have complex multiplication.Modular form 303450.2.a.dn
sage: E.q_eigenform(10)