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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 69828m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69828.o1 | 69828m1 | \([0, -1, 0, -87990, 11933613]\) | \(-31808383744/7438959\) | \(-17619726540792816\) | \([]\) | \(380160\) | \(1.8366\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69828m do not have complex multiplication.Modular form 69828.2.a.m
sage: E.q_eigenform(10)