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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 117600.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.e1 | 117600bg1 | \([0, -1, 0, -1458, 26412]\) | \(-11200/3\) | \(-91875000000\) | \([]\) | \(149760\) | \(0.82007\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 117600.e do not have complex multiplication.Modular form 117600.2.a.e
sage: E.q_eigenform(10)