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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 311696.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.q1 | 311696q1 | \([0, 1, 0, -47472, 4317652]\) | \(-197294400193/21102592\) | \(-1265512650637312\) | \([]\) | \(1253376\) | \(1.6363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696.q do not have complex multiplication.Modular form 311696.2.a.q
sage: E.q_eigenform(10)