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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 34969c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34969.g1 | 34969c1 | \([0, 1, 1, 1282197, -578352615]\) | \(4096000/4913\) | \(-279624009566694318427\) | \([]\) | \(1140480\) | \(2.6095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34969c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 34969c do not have complex multiplication.Modular form 34969.2.a.c
sage: E.q_eigenform(10)