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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 103488.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.m1 | 103488j1 | \([0, -1, 0, -15270817, 23816882209]\) | \(-260607143968297/11270993184\) | \(-17032814992586541367296\) | \([]\) | \(11289600\) | \(3.0315\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103488.m do not have complex multiplication.Modular form 103488.2.a.m
sage: E.q_eigenform(10)