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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 185150.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.q1 | 185150ce1 | \([1, -1, 0, 12171133, -3922860459]\) | \(137927116575/84410368\) | \(-122028944020480000000000\) | \([]\) | \(19261440\) | \(3.1191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185150.q do not have complex multiplication.Modular form 185150.2.a.q
sage: E.q_eigenform(10)