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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 457776.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
457776.s1 | 457776s1 | \([0, 0, 0, -42267339819, -3432795806336166]\) | \(-400921744371182188137/12384898975268864\) | \(-257971254526917524087672055791616\) | \([]\) | \(1891814400\) | \(4.9962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 457776.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 457776.s do not have complex multiplication.Modular form 457776.2.a.s
sage: E.q_eigenform(10)