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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 265335.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265335.cb1 | 265335cb1 | \([0, -1, 1, -112030, -23747319]\) | \(-1376628736/1366875\) | \(-154398318459091875\) | \([]\) | \(4826304\) | \(1.9940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265335.cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265335.cb do not have complex multiplication.Modular form 265335.2.a.cb
sage: E.q_eigenform(10)