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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 238260c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
238260.c1 | 238260c1 | \([0, -1, 0, 39861139, 105356257161]\) | \(581582383072403456/734810755974075\) | \(-8849873762067551112979200\) | \([]\) | \(57127680\) | \(3.4729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 238260c do not have complex multiplication.Modular form 238260.2.a.c
sage: E.q_eigenform(10)