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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 6027.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6027.h1 | 6027f1 | \([0, 1, 1, -54308, 4853237]\) | \(-3072832000000/5043\) | \(-29071891443\) | \([]\) | \(20832\) | \(1.2709\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6027.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6027.h do not have complex multiplication.Modular form 6027.2.a.h
sage: E.q_eigenform(10)