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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 121680.dn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 121680.dn1 | 121680fh1 | \([0, 0, 0, -8112, -2566096]\) | \(-4096/195\) | \(-2810491016785920\) | \([]\) | \(645120\) | \(1.6443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121680.dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121680.dn do not have complex multiplication.Modular form 121680.2.a.dn
sage: E.q_eigenform(10)