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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 135240cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135240.s1 | 135240cb1 | \([0, -1, 0, 229, -804]\) | \(34420736/25875\) | \(-994014000\) | \([]\) | \(67968\) | \(0.41462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 135240cb do not have complex multiplication.Modular form 135240.2.a.cb
sage: E.q_eigenform(10)