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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 426888s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.s1 | 426888s1 | \([0, 0, 0, -658119, -6817407289]\) | \(-12967168/8251551\) | \(-20059839332137038406896\) | \([]\) | \(30965760\) | \(2.9585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888s do not have complex multiplication.Modular form 426888.2.a.s
sage: E.q_eigenform(10)