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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 95304.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95304.e1 | 95304m1 | \([0, -1, 0, -48673373088, -4133209330877076]\) | \(-1015621959753145219250/10356281643411\) | \(-130037860229531791521790384128\) | \([]\) | \(204543360\) | \(4.7448\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95304.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 95304.e do not have complex multiplication.Modular form 95304.2.a.e
sage: E.q_eigenform(10)