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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 480240e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
480240.e1 | 480240e1 | \([0, 0, 0, -45963, 2151738]\) | \(3596344921161/1411372000\) | \(4214334210048000\) | \([]\) | \(2661120\) | \(1.6967\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 480240e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 480240e do not have complex multiplication.Modular form 480240.2.a.e
sage: E.q_eigenform(10)