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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 327990.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.q1 | 327990q1 | \([1, 0, 1, -3614059163928, 2644354988241292006]\) | \(12408792056705068124806972561/700876800000000000000\) | \(294863939412298316236800000000000000\) | \([]\) | \(9860928000\) | \(5.8704\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990.q do not have complex multiplication.Modular form 327990.2.a.q
sage: E.q_eigenform(10)