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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 400710.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400710.bl1 | 400710bl1 | \([1, 0, 0, 534, 18486]\) | \(357911/3330\) | \(-156662783730\) | \([]\) | \(570240\) | \(0.82933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400710.bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 400710.bl do not have complex multiplication.Modular form 400710.2.a.bl
sage: E.q_eigenform(10)