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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 68970.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68970.m1 | 68970j1 | \([1, 1, 0, 103255348, -2776077721776]\) | \(4693907404762135439/131077531238400000\) | \(-3399813583381222155878400000\) | \([]\) | \(37160640\) | \(3.9629\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68970.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68970.m do not have complex multiplication.Modular form 68970.2.a.m
sage: E.q_eigenform(10)