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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 200277c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.d1 | 200277c1 | \([0, 0, 1, -867, 183298]\) | \(-1183744/237699\) | \(-14472733612491\) | \([]\) | \(580608\) | \(1.2046\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200277c do not have complex multiplication.Modular form 200277.2.a.c
sage: E.q_eigenform(10)