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SageMath
E = EllipticCurve("hi1")
E.isogeny_class()
Elliptic curves in class 193200hi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193200.s1 | 193200hi1 | \([0, -1, 0, -97193, -11656683]\) | \(-15865478279879680/41425036443\) | \(-265120233235200\) | \([]\) | \(903168\) | \(1.6432\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193200hi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193200hi do not have complex multiplication.Modular form 193200.2.a.hi
sage: E.q_eigenform(10)