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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 75810q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.u1 | 75810q1 | \([1, 1, 0, -122747, 2498109]\) | \(12042955801/6804000\) | \(115556162930964000\) | \([]\) | \(820800\) | \(1.9641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75810q do not have complex multiplication.Modular form 75810.2.a.q
sage: E.q_eigenform(10)