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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 68970f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68970.c1 | 68970f1 | \([1, 1, 0, 3452, 44752]\) | \(37579769391791/28445644800\) | \(-3441923020800\) | \([]\) | \(152064\) | \(1.0937\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68970f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68970f do not have complex multiplication.Modular form 68970.2.a.f
sage: E.q_eigenform(10)