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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 90480.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
90480.c1 | 90480w1 | \([0, -1, 0, -21141, -1279395]\) | \(-255129621889024/26899279875\) | \(-110179450368000\) | \([]\) | \(435456\) | \(1.4333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90480.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 90480.c do not have complex multiplication.Modular form 90480.2.a.c
sage: E.q_eigenform(10)