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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 148225.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148225.h1 | 148225i1 | \([1, -1, 1, -1732380, 1903248372]\) | \(-1459161/3125\) | \(-1231401757361767578125\) | \([]\) | \(10454400\) | \(2.7358\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148225.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 148225.h do not have complex multiplication.Modular form 148225.2.a.h
sage: E.q_eigenform(10)