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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 435344q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 435344.q1 | 435344q1 | \([0, -1, 0, -4788, -126725]\) | \(-157216000/1127\) | \(-87037019888\) | \([]\) | \(430848\) | \(0.93156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435344q do not have complex multiplication.Modular form 435344.2.a.q
sage: E.q_eigenform(10)