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SageMath
E = EllipticCurve("fb1")
E.isogeny_class()
Elliptic curves in class 227430fb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 227430.f1 | 227430fb1 | \([1, -1, 0, -5020915320, -136936553433800]\) | \(-1130618446378903363681/2756768175000\) | \(-34131594899271029707575000\) | \([]\) | \(196992000\) | \(4.1394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430fb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227430fb do not have complex multiplication.Modular form 227430.2.a.fb
sage: E.q_eigenform(10)