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SageMath
E = EllipticCurve("hi1")
E.isogeny_class()
Elliptic curves in class 88200hi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.ic1 | 88200hi1 | \([0, 0, 0, -1337700, 596648500]\) | \(-2249728/5\) | \(-588355590060000000\) | \([]\) | \(1935360\) | \(2.2924\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200hi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200hi do not have complex multiplication.Modular form 88200.2.a.hi
sage: E.q_eigenform(10)