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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 25872cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25872.b1 | 25872cc1 | \([0, -1, 0, 320, -2624]\) | \(17999471/24057\) | \(-4828336128\) | \([]\) | \(21504\) | \(0.54395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25872cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25872cc do not have complex multiplication.Modular form 25872.2.a.cc
sage: E.q_eigenform(10)