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SageMath
E = EllipticCurve("ec1")
E.isogeny_class()
Elliptic curves in class 109200.ec
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109200.ec1 | 109200fn1 | \([0, 1, 0, -3008, 71988]\) | \(-47045881/8736\) | \(-559104000000\) | \([]\) | \(134400\) | \(0.97861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109200.ec1 has rank \(0\).
Complex multiplication
The elliptic curves in class 109200.ec do not have complex multiplication.Modular form 109200.2.a.ec
sage: E.q_eigenform(10)