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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 13725c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13725.a1 | 13725c1 | \([1, -1, 1, -455, -3828]\) | \(-912673/61\) | \(-694828125\) | \([]\) | \(5184\) | \(0.44857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13725c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13725c do not have complex multiplication.Modular form 13725.2.a.c
sage: E.q_eigenform(10)