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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 185150cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.x1 | 185150cl1 | \([1, 1, 0, -48575, 7197125]\) | \(-12268469813/14680064\) | \(-15167488000000000\) | \([]\) | \(1572480\) | \(1.7986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185150cl do not have complex multiplication.Modular form 185150.2.a.cl
sage: E.q_eigenform(10)