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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 435344.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.s1 | 435344s1 | \([0, -1, 0, -185449, -46217419]\) | \(-570820369408/418447211\) | \(-517059779604402944\) | \([]\) | \(4730880\) | \(2.0984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435344.s do not have complex multiplication.Modular form 435344.2.a.s
sage: E.q_eigenform(10)