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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 19950m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19950.j1 | 19950m1 | \([1, 1, 0, 175, 4245]\) | \(23497109375/314399232\) | \(-7859980800\) | \([]\) | \(17280\) | \(0.57952\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19950m do not have complex multiplication.Modular form 19950.2.a.m
sage: E.q_eigenform(10)