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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 225318.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
225318.j1 | 225318y1 | \([1, 0, 1, -3060616, -2067133174]\) | \(-133157973625/446148\) | \(-10623357921571346628\) | \([]\) | \(6352896\) | \(2.5154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225318.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 225318.j do not have complex multiplication.Modular form 225318.2.a.j
sage: E.q_eigenform(10)