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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 202800eq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.o1 | 202800eq1 | \([0, -1, 0, 5352, -259728]\) | \(34295/78\) | \(-38552688844800\) | \([]\) | \(677376\) | \(1.2910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800eq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800eq do not have complex multiplication.Modular form 202800.2.a.eq
sage: E.q_eigenform(10)