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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 349830m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.m1 | 349830m1 | \([1, -1, 0, -38310, 322856]\) | \(804357/460\) | \(3556112819741820\) | \([]\) | \(2166528\) | \(1.6737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 349830m do not have complex multiplication.Modular form 349830.2.a.m
sage: E.q_eigenform(10)