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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 20070bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20070.bi1 | 20070bi1 | \([1, -1, 1, -26897, -1881471]\) | \(-2951838380347849/404518717440\) | \(-294894145013760\) | \([]\) | \(100672\) | \(1.5084\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20070bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20070bi do not have complex multiplication.Modular form 20070.2.a.bi
sage: E.q_eigenform(10)