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SageMath
E = EllipticCurve("el1")
E.isogeny_class()
Elliptic curves in class 480240.el
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
480240.el1 | 480240el1 | \([0, 0, 0, -7392, -243344]\) | \(14959673344/90045\) | \(268872929280\) | \([]\) | \(940032\) | \(1.0324\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 480240.el1 has rank \(1\).
Complex multiplication
The elliptic curves in class 480240.el do not have complex multiplication.Modular form 480240.2.a.el
sage: E.q_eigenform(10)