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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 75150.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.e1 | 75150u1 | \([1, -1, 0, -27882, -1785074]\) | \(-26306719916021/730458\) | \(-66562985250\) | \([]\) | \(161280\) | \(1.1796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150.e do not have complex multiplication.Modular form 75150.2.a.e
sage: E.q_eigenform(10)