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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 102960.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102960.cf1 | 102960cy1 | \([0, 0, 0, -4008, 158668]\) | \(-38153936896/36196875\) | \(-6755205600000\) | \([]\) | \(215040\) | \(1.1581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102960.cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102960.cf do not have complex multiplication.Modular form 102960.2.a.cf
sage: E.q_eigenform(10)