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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 212940bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212940.n1 | 212940bl1 | \([0, 0, 0, 210912, -298833743]\) | \(109051904/4117715\) | \(-39178753443593814960\) | \([]\) | \(4324320\) | \(2.4394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212940bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 212940bl do not have complex multiplication.Modular form 212940.2.a.bl
sage: E.q_eigenform(10)