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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 303600.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.u1 | 303600u1 | \([0, -1, 0, 4032, 41472]\) | \(70774630295/48691368\) | \(-4985996083200\) | \([]\) | \(483840\) | \(1.1251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303600.u do not have complex multiplication.Modular form 303600.2.a.u
sage: E.q_eigenform(10)