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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 70602.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.c1 | 70602b1 | \([1, 1, 0, -71477, -33539667]\) | \(-8502154921/97203456\) | \(-461726548585456896\) | \([]\) | \(967680\) | \(2.0714\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70602.c do not have complex multiplication.Modular form 70602.2.a.c
sage: E.q_eigenform(10)