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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 185150.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.ca1 | 185150l1 | \([1, -1, 1, 486845, -31480253]\) | \(137927116575/84410368\) | \(-7809852417310720000\) | \([]\) | \(3852288\) | \(2.3143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150.ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185150.ca do not have complex multiplication.Modular form 185150.2.a.ca
sage: E.q_eigenform(10)