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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 24400.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24400.e1 | 24400n1 | \([0, 1, 0, 632, 10068]\) | \(108879878/226981\) | \(-58107136000\) | \([]\) | \(19584\) | \(0.74980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24400.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24400.e do not have complex multiplication.Modular form 24400.2.a.e
sage: E.q_eigenform(10)