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SageMath
E = EllipticCurve("gz1")
E.isogeny_class()
Elliptic curves in class 88200.gz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.gz1 | 88200ii1 | \([0, 0, 0, -312375, 72244375]\) | \(-6288640/567\) | \(-303933691293750000\) | \([]\) | \(737280\) | \(2.0978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.gz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200.gz do not have complex multiplication.Modular form 88200.2.a.gz
sage: E.q_eigenform(10)