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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 35520c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35520.f1 | 35520c1 | \([0, -1, 0, 9, 405]\) | \(1124864/1123875\) | \(-71928000\) | \([]\) | \(9600\) | \(0.18660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35520c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35520c do not have complex multiplication.Modular form 35520.2.a.c
sage: E.q_eigenform(10)