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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 68400.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68400.c1 | 68400cq1 | \([0, 0, 0, -28875, 1875625]\) | \(584362240/4617\) | \(21036206250000\) | \([]\) | \(230400\) | \(1.3845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68400.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68400.c do not have complex multiplication.Modular form 68400.2.a.c
sage: E.q_eigenform(10)