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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 53040.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53040.cb1 | 53040p1 | \([0, 1, 0, 239, 5435]\) | \(5872987136/51796875\) | \(-13260000000\) | \([]\) | \(51072\) | \(0.62363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53040.cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53040.cb do not have complex multiplication.Modular form 53040.2.a.cb
sage: E.q_eigenform(10)