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SageMath
E = EllipticCurve("jw1")
E.isogeny_class()
Elliptic curves in class 145200jw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145200.y1 | 145200jw1 | \([0, -1, 0, -372705208, -2862433741088]\) | \(-323194518662500/12784876137\) | \(-226491879541398570000000000\) | \([]\) | \(56908800\) | \(3.8257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200jw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145200jw do not have complex multiplication.Modular form 145200.2.a.jw
sage: E.q_eigenform(10)