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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 57222.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57222.h1 | 57222bc1 | \([1, -1, 0, -12183965793, -517805967176451]\) | \(-39334245666480232823953/14521637786211072\) | \(-73847279252305447818727742208\) | \([]\) | \(131604480\) | \(4.5070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57222.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57222.h do not have complex multiplication.Modular form 57222.2.a.h
sage: E.q_eigenform(10)