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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 211600.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.bl1 | 211600ba1 | \([0, -1, 0, -136658, 20718187]\) | \(-7626496/575\) | \(-21280159043750000\) | \([]\) | \(1216512\) | \(1.8814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 211600.bl do not have complex multiplication.Modular form 211600.2.a.bl
sage: E.q_eigenform(10)