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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 173400.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
173400.cb1 | 173400et1 | \([0, -1, 0, 142092, 19354437]\) | \(52577024/57375\) | \(-346223255343750000\) | \([]\) | \(1990656\) | \(2.0521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 173400.cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 173400.cb do not have complex multiplication.Modular form 173400.2.a.cb
sage: E.q_eigenform(10)