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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 19950h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 19950.p1 | 19950h1 | \([1, 1, 0, -33880, 2386240]\) | \(-172041783999846385/1179967488\) | \(-29499187200\) | \([]\) | \(52416\) | \(1.1896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19950h do not have complex multiplication.Modular form 19950.2.a.h
sage: E.q_eigenform(10)