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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 252700c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
252700.c1 | 252700c1 | \([0, 0, 0, -361000, -85737500]\) | \(-221184/7\) | \(-164660583500000000\) | \([]\) | \(4354560\) | \(2.0798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 252700c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 252700c do not have complex multiplication.Modular form 252700.2.a.c
sage: E.q_eigenform(10)