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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 156702cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.be1 | 156702cf1 | \([1, 0, 1, 992742, 15437230540]\) | \(2208195136084622241431/2102257279809160740864\) | \(-103010606710648876302336\) | \([]\) | \(15868800\) | \(3.0948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 156702cf do not have complex multiplication.Modular form 156702.2.a.cf
sage: E.q_eigenform(10)