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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 156702.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 156702.d1 | 156702cq1 | \([1, 1, 0, 48644382, -5294921430924]\) | \(2208195136084622241431/2102257279809160740864\) | \(-12119094868901129648093528064\) | \([]\) | \(111081600\) | \(4.0677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 156702.d do not have complex multiplication.Modular form 156702.2.a.d
sage: E.q_eigenform(10)