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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 20328.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20328.c1 | 20328o1 | \([0, -1, 0, -28596, 1875249]\) | \(-91238612224/251559\) | \(-7130433817584\) | \([]\) | \(34560\) | \(1.3394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20328.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20328.c do not have complex multiplication.Modular form 20328.2.a.c
sage: E.q_eigenform(10)