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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 69828.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 69828.h1 | 69828k1 | \([0, -1, 0, -349293, 2947015593]\) | \(-34801580274688000/27682340832837603\) | \(-3748853324946199548672\) | \([]\) | \(2545920\) | \(2.8187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69828.h do not have complex multiplication.Modular form 69828.2.a.h
sage: E.q_eigenform(10)