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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 372810.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.q1 | 372810q1 | \([1, 1, 0, -3575947, 2547214141]\) | \(42643891494953/1014497280\) | \(120307078147182428160\) | \([]\) | \(14883840\) | \(2.6381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372810.q do not have complex multiplication.Modular form 372810.2.a.q
sage: E.q_eigenform(10)