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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 338130cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.cc1 | 338130cc1 | \([1, -1, 0, -1074, 18900]\) | \(-1033364331/532480\) | \(-70634004480\) | \([]\) | \(479232\) | \(0.78629\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130cc do not have complex multiplication.Modular form 338130.2.a.cc
sage: E.q_eigenform(10)