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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 29400.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.s1 | 29400dc1 | \([0, -1, 0, 5717, 67012]\) | \(358400/243\) | \(-14008466430000\) | \([]\) | \(40320\) | \(1.2112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400.s do not have complex multiplication.Modular form 29400.2.a.s
sage: E.q_eigenform(10)