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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 28314s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28314.f1 | 28314s1 | \([1, -1, 0, -146493, 21166789]\) | \(2224882033/53248\) | \(8320938456010752\) | \([]\) | \(190080\) | \(1.8396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28314s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28314s do not have complex multiplication.Modular form 28314.2.a.s
sage: E.q_eigenform(10)