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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 80688s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80688.c1 | 80688s1 | \([0, -1, 0, -183789, 30621345]\) | \(-335872/3\) | \(-6132422575964928\) | \([]\) | \(619920\) | \(1.8529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80688s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 80688s do not have complex multiplication.Modular form 80688.2.a.s
sage: E.q_eigenform(10)