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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 111600.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.e1 | 111600fp1 | \([0, 0, 0, -525, 32875]\) | \(-87808/2511\) | \(-457629750000\) | \([]\) | \(165888\) | \(0.91792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 111600.e do not have complex multiplication.Modular form 111600.2.a.e
sage: E.q_eigenform(10)