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SageMath
E = EllipticCurve("fh1")
E.isogeny_class()
Elliptic curves in class 119952fh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 119952.bf1 | 119952fh1 | \([0, 0, 0, -10782891, -49124474406]\) | \(-164384733177/1140850688\) | \(-962269421150244603691008\) | \([]\) | \(14676480\) | \(3.2852\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952fh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952fh do not have complex multiplication.Modular form 119952.2.a.fh
sage: E.q_eigenform(10)