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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 320790.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320790.q1 | 320790q1 | \([1, 1, 0, -245756306777, 46892890332773349]\) | \(-235313236184939878044855328921/1774224000000000000000\) | \(-12376556270000784000000000000000\) | \([]\) | \(2656765440\) | \(5.1414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320790.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 320790.q do not have complex multiplication.Modular form 320790.2.a.q
sage: E.q_eigenform(10)