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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 38808bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.u1 | 38808bl1 | \([0, 0, 0, 1029, 6566]\) | \(1815156/1331\) | \(-88355570688\) | \([]\) | \(29952\) | \(0.78868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808bl do not have complex multiplication.Modular form 38808.2.a.bl
sage: E.q_eigenform(10)