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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 152880cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152880.eq1 | 152880cl1 | \([0, 1, 0, -5211656, -28135810956]\) | \(-662989657192009/14097531093750\) | \(-332879713676415360000000\) | \([]\) | \(22579200\) | \(3.1944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152880cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 152880cl do not have complex multiplication.Modular form 152880.2.a.cl
sage: E.q_eigenform(10)