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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 116886s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.o1 | 116886s1 | \([1, 0, 1, -1312, 7042946]\) | \(-187443868067/16099967224908\) | \(-21429056376352548\) | \([]\) | \(984960\) | \(1.8125\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 116886s do not have complex multiplication.Modular form 116886.2.a.s
sage: E.q_eigenform(10)