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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 282064.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
282064.e1 | 282064e1 | \([0, 1, 0, -9344, -370316]\) | \(-912673/61\) | \(-6030916440064\) | \([]\) | \(630784\) | \(1.2043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 282064.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 282064.e do not have complex multiplication.Modular form 282064.2.a.e
sage: E.q_eigenform(10)