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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 430950.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.u1 | 430950u1 | \([1, 1, 0, -6468985, 6199700005]\) | \(248103063516113545/5856414400512\) | \(706694843403023155200\) | \([]\) | \(33384960\) | \(2.7859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950.u do not have complex multiplication.Modular form 430950.2.a.u
sage: E.q_eigenform(10)