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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 212341.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212341.c1 | 212341c1 | \([1, 0, 1, -7035, -240433]\) | \(-912673/61\) | \(-2573012552101\) | \([]\) | \(408204\) | \(1.1333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212341.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 212341.c do not have complex multiplication.Modular form 212341.2.a.c
sage: E.q_eigenform(10)