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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 309168.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.q1 | 309168q1 | \([0, 0, 0, -43796091, -112427271254]\) | \(-3111302831921821954873/28165508381540352\) | \(-84101757379145386426368\) | \([]\) | \(31104000\) | \(3.2218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168.q do not have complex multiplication.Modular form 309168.2.a.q
sage: E.q_eigenform(10)