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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 370881.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370881.h1 | 370881h1 | \([1, -1, 1, -404259185084, 89905529625582962]\) | \(170295687079857398473/17163597526568829\) | \(736390324605717286995351468676766949\) | \([]\) | \(7643750400\) | \(5.6184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370881.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 370881.h do not have complex multiplication.Modular form 370881.2.a.h
sage: E.q_eigenform(10)