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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 37575c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37575.d1 | 37575c1 | \([1, -1, 0, -12807, -556524]\) | \(-2549455723781/9861183\) | \(-898600300875\) | \([]\) | \(74240\) | \(1.1520\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37575c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37575c do not have complex multiplication.Modular form 37575.2.a.c
sage: E.q_eigenform(10)