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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 156702.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 156702.f1 | 156702co1 | \([1, 1, 0, 280892, -101358326]\) | \(20832968985844679/49866992732466\) | \(-5866801827981892434\) | \([]\) | \(2612736\) | \(2.2853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 156702.f do not have complex multiplication.Modular form 156702.2.a.f
sage: E.q_eigenform(10)