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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 270802.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270802.g1 | 270802g1 | \([1, -1, 0, -56, -150]\) | \(-23326353/322\) | \(-270802\) | \([]\) | \(28800\) | \(-0.15113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270802.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270802.g do not have complex multiplication.Modular form 270802.2.a.g
sage: E.q_eigenform(10)