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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 85680do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85680.k1 | 85680do1 | \([0, 0, 0, -48, 2032]\) | \(-4096/595\) | \(-1776660480\) | \([]\) | \(26880\) | \(0.45423\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85680do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85680do do not have complex multiplication.Modular form 85680.2.a.do
sage: E.q_eigenform(10)