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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 108900.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
108900.h1 | 108900cs1 | \([0, 0, 0, -172425, -27693875]\) | \(-212464384/1215\) | \(-3242011533750000\) | \([]\) | \(967680\) | \(1.8180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 108900.h do not have complex multiplication.Modular form 108900.2.a.h
sage: E.q_eigenform(10)