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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 156702cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.g1 | 156702cp1 | \([1, 1, 0, -1155613, -478634729]\) | \(-497585178493511297743/69681481038\) | \(-23900747996034\) | \([]\) | \(1647360\) | \(1.9780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702cp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 156702cp do not have complex multiplication.Modular form 156702.2.a.cp
sage: E.q_eigenform(10)