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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 117975.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117975.cc1 | 117975t1 | \([0, -1, 1, -1008, 112793]\) | \(-4096/195\) | \(-5397724921875\) | \([]\) | \(342720\) | \(1.1231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117975.cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 117975.cc do not have complex multiplication.Modular form 117975.2.a.cc
sage: E.q_eigenform(10)