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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 69828h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69828.s1 | 69828h1 | \([0, -1, 0, -27684, -1763784]\) | \(-32754774352/1089\) | \(-78015193344\) | \([]\) | \(172800\) | \(1.1830\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69828h do not have complex multiplication.Modular form 69828.2.a.h
sage: E.q_eigenform(10)