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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 2646.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2646.s1 | 2646u1 | \([1, -1, 1, -41, 137]\) | \(-89373/32\) | \(-2667168\) | \([]\) | \(480\) | \(-0.056192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2646.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2646.s do not have complex multiplication.Modular form 2646.2.a.s
sage: E.q_eigenform(10)