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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 22800.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22800.c1 | 22800e1 | \([0, -1, 0, -28, 67]\) | \(6288640/57\) | \(22800\) | \([]\) | \(1920\) | \(-0.34137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22800.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22800.c do not have complex multiplication.Modular form 22800.2.a.c
sage: E.q_eigenform(10)