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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 30912.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30912.u1 | 30912br1 | \([0, -1, 0, -3508545, 2530858113]\) | \(-145765603223714807432/10998738542547\) | \(-360406664562180096\) | \([]\) | \(770304\) | \(2.4179\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30912.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30912.u do not have complex multiplication.Modular form 30912.2.a.u
sage: E.q_eigenform(10)