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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 57150.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.v1 | 57150n1 | \([1, -1, 0, 7083, 4474741]\) | \(3449795831/762000000\) | \(-8679656250000000\) | \([]\) | \(580608\) | \(1.7375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57150.v do not have complex multiplication.Modular form 57150.2.a.v
sage: E.q_eigenform(10)