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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 143745q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 143745.r1 | 143745q1 | \([0, -1, 1, -11145485, 28606071773]\) | \(-59677458829410304/103209811999875\) | \(-264808140316004392198875\) | \([]\) | \(14774400\) | \(3.1850\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143745q do not have complex multiplication.Modular form 143745.2.a.q
sage: E.q_eigenform(10)