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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 50400.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50400.q1 | 50400z1 | \([0, 0, 0, 7800, -1514000]\) | \(1124864/21875\) | \(-1020600000000000\) | \([]\) | \(230400\) | \(1.5603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50400.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 50400.q do not have complex multiplication.Modular form 50400.2.a.q
sage: E.q_eigenform(10)