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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 304920q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304920.q1 | 304920q1 | \([0, 0, 0, 12254517, 57220292943]\) | \(24915762432/187578125\) | \(-1532217143174975853750000\) | \([]\) | \(55351296\) | \(3.3223\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304920q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304920q do not have complex multiplication.Modular form 304920.2.a.q
sage: E.q_eigenform(10)