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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 43190q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43190.h1 | 43190q1 | \([1, -1, 1, -12, 21]\) | \(-176558481/43190\) | \(-43190\) | \([]\) | \(7752\) | \(-0.39223\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43190q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43190q do not have complex multiplication.Modular form 43190.2.a.q
sage: E.q_eigenform(10)