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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 212940.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212940.u1 | 212940x1 | \([0, 0, 0, -316368, -68632083]\) | \(-368050176/875\) | \(-8325347738526000\) | \([]\) | \(2280096\) | \(1.9346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212940.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212940.u do not have complex multiplication.Modular form 212940.2.a.u
sage: E.q_eigenform(10)