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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 82800ew
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82800.a1 | 82800ew1 | \([0, 0, 0, -91875, 7681250]\) | \(2941225/828\) | \(24144480000000000\) | \([]\) | \(921600\) | \(1.8505\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82800ew1 has rank \(0\).
Complex multiplication
The elliptic curves in class 82800ew do not have complex multiplication.Modular form 82800.2.a.ew
sage: E.q_eigenform(10)