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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 36300u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36300.v1 | 36300u1 | \([0, -1, 0, 367, -7038]\) | \(4505600/19683\) | \(-23816430000\) | \([]\) | \(27216\) | \(0.67364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36300u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36300u do not have complex multiplication.Modular form 36300.2.a.u
sage: E.q_eigenform(10)