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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 57150.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.q1 | 57150q1 | \([1, -1, 0, -342, 756]\) | \(243135625/130048\) | \(2370124800\) | \([]\) | \(36000\) | \(0.49011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57150.q do not have complex multiplication.Modular form 57150.2.a.q
sage: E.q_eigenform(10)