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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 141120dq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 141120.dg1 | 141120dq1 | \([0, 0, 0, -12348, -907578]\) | \(-110592/125\) | \(-235342236024000\) | \([]\) | \(376320\) | \(1.4521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120dq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120dq do not have complex multiplication.Modular form 141120.2.a.dq
sage: E.q_eigenform(10)