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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 193600.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.h1 | 193600g1 | \([0, 0, 0, -810700, -300806000]\) | \(-16241202/1375\) | \(-4988715776000000000\) | \([]\) | \(6635520\) | \(2.3328\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193600.h do not have complex multiplication.Modular form 193600.2.a.h
sage: E.q_eigenform(10)