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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 24882.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24882.r1 | 24882v1 | \([1, 0, 1, 117, -1196]\) | \(179310732119/731605446\) | \(-731605446\) | \([]\) | \(13248\) | \(0.38354\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24882.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24882.r do not have complex multiplication.Modular form 24882.2.a.r
sage: E.q_eigenform(10)