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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 42350q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42350.a1 | 42350q1 | \([1, -1, 0, -3179842, -3581960684]\) | \(-8773917273/8605184\) | \(-3487442362152056000000\) | \([]\) | \(6082560\) | \(2.8296\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42350q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42350q do not have complex multiplication.Modular form 42350.2.a.q
sage: E.q_eigenform(10)